How do you an equation into slope intercept from slope and y intercept?

It's quite easy. Slope-intercept form: y = mx + b The "m" is the slope. The "b" is the y-intercept. So, if the problem tells you the slope = 3/4 and the y-intercept is -5, then you can create the equation by: -- swap out "m" and put in 3/4 -- swap out "b" and put in -5 You get the equation: y = 3/4 (x) - 5 Hope this helps.

This has no use in the real world.

Slope? It can be used later to calculate really important things.

I still don't know how to graph, this is so hard... :(

y=mx+b y=y m=any number x=x b=any number b is the y intercept, which is when x is zero what y is. Did this help? Or do you not understand how to graph from a slope intercept form?

how do you find the slope

Here's my explanation :) The *slope of the line* is another way of saying *How steep is this line*? To find an exact number for that, we use the concept *rise over run*. First, you find two points on the line, _(Let's say our points are (3,3) and (4,5))_ Next you find out how much the line *runs*, aka how much it goes sideways within the two points we picked. To do that, you take the point with the greatest x value, and subtract the x value of the other point: 4-3=1 Now let's find the *rise* aka how much the line goes up within the two points we picked. To do that, we take the y value of our first point, and subtract the y value of our second point: 5-3=2 Now we have our *Rise* _(2)_ and our *Run* _(1)_, so let's put *Rise over Run*: 2/1 *simplify* 2 And we have the slope of the line!

Hi, when attempting to find b from y = mx + b, what determines whether (x1, y1) or (x2, y2) must be plugged into the equation?

It should not matter, both will give same answer. Say you have two points (5,6) and (1,12). Slope is (12-6)/(1-5)=6/-4=-3/2. This gives y = -3/2x + b. Thus, 6= -3/2(5)+B, 6 = -15/2 +B, ADD 15/2 to get 12/2 + 15/2 = 27/2. Also, 12 = -3/2 (1) + b, add 3/2 to both sides, b=24/2 + 3/2 = 27/2. Same answer.

i don't understand how to put x intercept and y intercept in an equation

You can put the equation into standard from (Ax+By=C) and then convert it into slope-intercept form (y=mx+b). I'm sure there are other ways to attack this problem, but this is how I learned it and it's quite efficient. Hope this helps!

i dont know how to find slope

pay attention to this review and write everything down the you will prob. get bro

how can i graph lines without having the y intercept on the graph?

You can graph any line from its equation by finding and graphing any 2 points that satisfy the equation. Alternatively, if you know the slope and any point on the line you can graph the point and use the slope to find more points on the line. You can find more details in the lessons at this link: https://www.khanacademy.org/math/algebra/two-var-linear-equations

Main content

8th grade (Illustrative Mathematics)

Course: 8th grade (Illustrative Mathematics) > Unit 3

Lesson 8: Extra practice: Slope

Slope-intercept form review

CCSS.Math:

Review slope-intercept form and how to use it to solve problems.

What is slope-intercept form?

Slope-intercept is a specific form of linear equations in two variables:

y, equals, start color #ed5fa6, m, end color #ed5fa6, x, plus, start color #1fab54, b, end color #1fab54

When an equation is written in this form, start color #ed5fa6, m, end color #ed5fa6 gives the slope of the line and start color #1fab54, b, end color #1fab54 gives its y-intercept.

Want to learn more about slope-intercept form? Check out this video.

Finding slope-intercept equation from features or graph

Example 1: Equation from slope and intercept

Suppose we want to find the equation of the line whose slope is start color #ed5fa6, minus, 1, end color #ed5fa6 and y-intercept is left parenthesis, 0, comma, start color #1fab54, 5, end color #1fab54, right parenthesis. Well, we simply plug start color #ed5fa6, m, equals, minus, 1, end color #ed5fa6 and start color #1fab54, b, equals, 5, end color #1fab54 into slope-intercept form!

y, equals, start color #ed5fa6, minus, 1, end color #ed5fa6, x, start color #1fab54, plus, 5, end color #1fab54

Example 2: Equation from two points

Suppose we want to find the line that passes through the points left parenthesis, 0, comma, minus, 4, right parenthesis and left parenthesis, 3, comma, minus, 1, right parenthesis. First, we notice that left parenthesis, 0, comma, start color #1fab54, minus, 4, end color #1fab54, right parenthesis is the y-intercept. Second, we use the two points to find the slope:

$\begin{aligned} \text{Slope}&=\dfrac{-1-(-4)}{3-0} \\\\\ &=\dfrac{3}{3} \\\\ &=\maroonC 1 \end{aligned}$

Now we can write the equation in slope-intercept:

y, equals, start color #ed5fa6, 1, end color #ed5fa6, x, start color #1fab54, minus, 4, end color #1fab54

Problem 1

Current

Write the equation of the line whose slope is 5 and y-intercept is left parenthesis, 0, comma, minus, 7, right parenthesis.

y, equals

Want to try more problems like this? Check out these exercises:

Slope-intercept equation from graph
Slope-intercept equation from two points

Finding features and graph from slope-intercept equation

When we have a linear equation in slope-intercept form, we can quickly find the slope and y-intercept of the corresponding line. This also allows us to graph it.

Consider, for example, the equation y, equals, start color #ed5fa6, 2, end color #ed5fa6, x, start color #1fab54, plus, 3, end color #1fab54. We can quickly tell that the corresponding line has a slope of start color #ed5fa6, 2, end color #ed5fa6 and its y-intercept is left parenthesis, 0, comma, start color #1fab54, 3, end color #1fab54, right parenthesis. Now we can graph the line:

Problem 1

Current

What is the slope of the line y, equals, 3, x, minus, 1?

What is the y-intercept of the line?

left parenthesis, 0, comma

right parenthesis

Want to try more problems like this? Check out these exercises:

Slope from slope-intercept equation
Graph from slope-intercept equation

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Nikki Mupp
Posted 6 years ago. Direct link to Nikki Mupp's post “How do you an equation in...”
How do you an equation into slope intercept from slope and y intercept?
Button navigates to signup pageComment on Nikki Mupp's post “How do you an equation in...”
(15 votes)
Answer
- Kim Seidel
  Posted 6 years ago. Direct link to Kim Seidel's post “It's quite easy. Slope-in...”
  It's quite easy.
  Slope-intercept form: y = mx + b
  The "m" is the slope. The "b" is the y-intercept.
  So, if the problem tells you the slope = 3/4 and the y-intercept is -5, then you can create the equation by:
  -- swap out "m" and put in 3/4
  -- swap out "b" and put in -5
  You get the equation: y = 3/4 (x) - 5
  Hope this helps.
  Comment on Kim Seidel's post “It's quite easy. Slope-in...”
  (42 votes)
eaco5460
Posted 3 years ago. Direct link to eaco5460's post “This has no use in the re...”
This has no use in the real world.
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(6 votes)
Answer
- T̷h̷e̷C̷o̷d̷i̷n̷g̷L̷e̷g̷e̷n̷d̷ INACTIVE
  Posted 3 years ago. Direct link to T̷h̷e̷C̷o̷d̷i̷n̷g̷L̷e̷g̷e̷n̷d̷ INACTIVE's post “Slope? It can be used lat...”
  Slope? It can be used later to calculate really important things.
  Comment on T̷h̷e̷C̷o̷d̷i̷n̷g̷L̷e̷g̷e̷n̷d̷ INACTIVE's post “Slope? It can be used lat...”
  (8 votes)
Louis Kwan
Posted 6 years ago. Direct link to Louis Kwan's post “I still don't know how to...”
I still don't know how to graph, this is so hard... :(
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(4 votes)
Answer
- Victor Dang
  Posted 6 years ago. Direct link to Victor Dang's post “y=mx+b y=y m=any number ...”
  y=mx+b
  
  y=y
  m=any number
  x=x
  b=any number
  b is the y intercept, which is when x is zero what y is.
  Did this help? Or do you not understand how to graph from a slope intercept form?
  Button navigates to signup page
  (7 votes)
Nya Richards
Posted 5 years ago. Direct link to Nya Richards's post “I don't understand this.”
I don't understand this.
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(7 votes)
Answer
- jalohny
  Posted 4 years ago. Direct link to jalohny's post “you said that two years a...”
  you said that two years ago i want to see if you will respond to my reply what grade are u in
  Comment on jalohny's post “you said that two years a...”
  (0 votes)
Julian733
Posted 2 years ago. Direct link to Julian733's post “i dont know how to find s...”
i dont know how to find slope
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(2 votes)
Answer
- Jaiden Galecki
  Posted 6 months ago. Direct link to Jaiden Galecki's post “pay attention to this rev...”
  pay attention to this review and write everything down the you will prob. get bro
  Comment on Jaiden Galecki's post “pay attention to this rev...”
  (5 votes)
jcontrerasalejo0747
Posted 3 years ago. Direct link to jcontrerasalejo0747's post “how do you find the slope”
how do you find the slope
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(3 votes)
Answer
- Hannah Alisse
  Posted 3 years ago. Direct link to Hannah Alisse's post “Here's my explanation :) ...”
  Here's my explanation :)
  The slope of the line is another way of saying How steep is this line?
  To find an exact number for that, we use the concept rise over run.
  First, you find two points on the line, (Let's say our points are (3,3) and (4,5))
  Next you find out how much the line runs, aka how much it goes sideways within the two points we picked. To do that, you take the point with the greatest x value, and subtract the x value of the other point:
  4-3=1
  Now let's find the rise aka how much the line goes up within the two points we picked. To do that, we take the y value of our first point, and subtract the y value of our second point:
  5-3=2
  Now we have our Rise (2) and our Run (1), so let's put Rise over Run:
  2/1
  simplify
  2
  And we have the slope of the line!
  Button navigates to signup page
  (3 votes)
Jah
Posted a month ago. Direct link to Jah's post “this was great practice t...”
this was great practice thx
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(4 votes)
Answer
barocsaiviki22
Posted 3 months ago. Direct link to barocsaiviki22's post “Hi, when attempting to fi...”
Hi, when attempting to find b from y = mx + b, what determines whether (x1, y1) or (x2, y2) must be plugged into the equation?
Button navigates to signup pageComment on barocsaiviki22's post “Hi, when attempting to fi...”
(3 votes)
Answer
- David Severin
  Posted 3 months ago. Direct link to David Severin's post “It should not matter, bot...”
  It should not matter, both will give same answer. Say you have two points (5,6) and (1,12). Slope is (12-6)/(1-5)=6/-4=-3/2. This gives y = -3/2x + b. Thus, 6= -3/2(5)+B, 6 = -15/2 +B, ADD 15/2 to get 12/2 + 15/2 = 27/2. Also, 12 = -3/2 (1) + b, add 3/2 to both sides, b=24/2 + 3/2 = 27/2. Same answer.
  Comment on David Severin's post “It should not matter, bot...”
  (3 votes)
Osman Hussein
Posted 6 years ago. Direct link to Osman Hussein's post “i don't understand how to...”
i don't understand how to put x intercept and y intercept in an equation
Button navigates to signup pageComment on Osman Hussein's post “i don't understand how to...”
(3 votes)
Answer
- Hannah Feng
  Posted 5 years ago. Direct link to Hannah Feng's post “You can put the equation ...”
  You can put the equation into standard from (Ax+By=C) and then convert it into slope-intercept form (y=mx+b). I'm sure there are other ways to attack this problem, but this is how I learned it and it's quite efficient. Hope this helps!
  Button navigates to signup page
  (2 votes)
Martin Calkins
Posted 5 years ago. Direct link to Martin Calkins's post “how can i graph lines wit...”
how can i graph lines without having the y intercept on the graph?
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(2 votes)
Answer
- Kim Seidel
  Posted 5 years ago. Direct link to Kim Seidel's post “You can graph any line fr...”
  You can graph any line from its equation by finding and graphing any 2 points that satisfy the equation.
  
  Alternatively, if you know the slope and any point on the line you can graph the point and use the slope to find more points on the line.
  
  You can find more details in the lessons at this link: https://www.khanacademy.org/math/algebra/two-var-linear-equations
  Button navigates to signup page
  (4 votes)