i do not like this at all..

This is the start of the largest empire of the world called math. This is important. If you don’t like it but want to work in any field related to math or science you will have a hard time. Revise it. Try to see the beauty of math. I would recommend Vi Harts videos

i need help beause i do not really under stand

Eg. Equation: y=2x-4 Let x be 0, y= 2*0-4= 0-4= -4 Let x be 1, y= 2*1-4= 2-4= -2 Let x be 2, y= 2*2-4= 4-4= 0 and so on... Then we get points: (0,-4), (1,-2), (2,0), ... ----------------------------------------------------- Eg. Equation: y=(3/2)x-4 If x is 0, then y=(3/2)*0-4= 0 -4= -4 If x is 1, then y=(3/2)*1-4= 1.5-4= -2.5 If x is 2, then y=(3/2)*2-4= 3 -4= -1 and so on... So we get points: (0,-4), (1,-2.5), (2,-1), ...

when will we use this in our daily lives

they want you to do harder things

I am so confused with the whole rise over run! it really is messing with my brain. I am so confused not just by the equation but I don't have a teacher to help me / guid me through this. And I don't have anyone to talk to help either. SO PLEASE HELP ME!

Slope means how steep a line is. We know how steep a mountain is judging on how vertical it is. Similar to slope of lines. We judge it by how vertical it is and how much it increases in the vertical direction when compared to the horizantal direction. That's where rise over run came from. Excellent question, by the way.

how to know when you have the correct numbers.

Once you have solved the problem plug your answers and see if both sides of the equation match.

would this work for all equations?

This particular method only works for equations in slope-intercept form (y=mx+b, where m is the slope and b is the y-intercept).

Main content

Algebra 1

Course: Algebra 1 > Unit 5

Lesson 2: Graphing slope-intercept equations

Graphing lines from slope-intercept form review

Google Classroom

Slope intercept form is y=mx+b, where m is slope and b is the y-intercept. We can use this form of a linear equation to draw the graph of that equation on the x-y coordinate plane.

Slope intercept form is

y = m x + b

, where

m

is slope and

b

is the

y

-intercept.

Slope-intercept form is nice when you're drawing graphs.

For example, imagine we're given the equation

y = 2 x + 7

and asked to graph it.

Straight from the equation, we know the

y

-intercept is

7

And we know the slope is

2

Slope = \frac{Δ y}{Δ x} = \frac{2}{1} = 2

So, for every one unit we go to the right, we must go up two units:

Here is our final graph:

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

Practice

Problem 1

Graph the following equation.

y = - 4 x - 1

Want more practice? Check out this exercise.

Want to join the conversation?

Sort by:

ndsmith935
Posted 3 years ago. Direct link to ndsmith935's post “i do not like this at all...”
i do not like this at all..
Button navigates to signup pageComment on ndsmith935's post “i do not like this at all...”
(69 votes)
Answer
- 1140858
  Posted a year ago. Direct link to 1140858's post “This is the start of the ...”
  This is the start of the largest empire of the world called math. This is important. If you don’t like it but want to work in any field related to math or science you will have a hard time. Revise it. Try to see the beauty of math. I would recommend Vi Harts videos
  Comment on 1140858's post “This is the start of the ...”
  (26 votes)
chloef
Posted 5 years ago. Direct link to chloef's post “math people... how do the...”
math people... how do they get this stuff
Button navigates to signup pageComment on chloef's post “math people... how do the...”
(53 votes)
Answer
- Jordan Daniel
  Posted 2 years ago. Direct link to Jordan Daniel's post “i know right is kinda har...”
  i know right is kinda hard
  Comment on Jordan Daniel's post “i know right is kinda har...”
  (28 votes)
sbabrrett
Posted 4 years ago. Direct link to sbabrrett's post “i need help beause i do n...”
i need help beause i do not really under stand
Button navigates to signup pageComment on sbabrrett's post “i need help beause i do n...”
(45 votes)
Answer
- danaswe1010
  Posted 2 years ago. Direct link to danaswe1010's post “Eg. Equation: y=2x-4 Let...”
  Eg. Equation: y=2x-4
  
  Let x be 0, y= 2*0-4= 0-4= -4
  Let x be 1, y= 2*1-4= 2-4= -2
  Let x be 2, y= 2*2-4= 4-4= 0 and so on...
  
  Then we get points: (0,-4), (1,-2), (2,0), ...
  -----------------------------------------------------
  Eg. Equation: y=(3/2)x-4
  
  If x is 0, then y=(3/2)*0-4= 0 -4= -4
  If x is 1, then y=(3/2)*1-4= 1.5-4= -2.5
  If x is 2, then y=(3/2)*2-4= 3 -4= -1 and so on...
  
  So we get points: (0,-4), (1,-2.5), (2,-1), ...
  Comment on danaswe1010's post “Eg. Equation: y=2x-4 Let...”
  (23 votes)
paul.s852
Posted 5 years ago. Direct link to paul.s852's post “when will we use this in ...”
when will we use this in our daily lives
Button navigates to signup pageComment on paul.s852's post “when will we use this in ...”
(45 votes)
Answer
- Jaiden Galecki
  Posted a year ago. Direct link to Jaiden Galecki's post “they want you to do harde...”
  they want you to do harder things
  Button navigates to signup page
  (2 votes)
Grace Matson
Posted 4 years ago. Direct link to Grace Matson's post “I am so confused with the...”
I am so confused with the whole rise over run! it really is messing with my brain. I am so confused not just by the equation but I don't have a teacher to help me / guid me through this. And I don't have anyone to talk to help either. SO PLEASE HELP ME!
Button navigates to signup pageComment on Grace Matson's post “I am so confused with the...”
(18 votes)
Answer
- Rocket Boys
  Posted 4 years ago. Direct link to Rocket Boys's post “Slope means how steep a l...”
  Slope means how steep a line is. We know how steep a mountain is judging on how vertical it is. Similar to slope of lines. We judge it by how vertical it is and how much it increases in the vertical direction when compared to the horizantal direction. That's where rise over run came from.
  
  Excellent question, by the way.
  Comment on Rocket Boys's post “Slope means how steep a l...”
  (12 votes)
coasterenthusiast
Posted 9 months ago. Direct link to coasterenthusiast's post “I love how people from 4 ...”
I love how people from 4 years ago ask a question and someone from a month ago responds... a little late dude
Button navigates to signup pageComment on coasterenthusiast's post “I love how people from 4 ...”
(14 votes)
Answer
- Zayne
  Posted 2 months ago. Direct link to Zayne's post “ikr just like now”
  ikr just like now
  Button navigates to signup page
  (1 vote)
2024collettekitchen
Posted 5 years ago. Direct link to 2024collettekitchen's post “I wish I could do more. T...”
I wish I could do more. Thats the only thing, Could we do more problems at a time or do we have to stick with 4?
Button navigates to signup pageComment on 2024collettekitchen's post “I wish I could do more. T...”
(14 votes)
Answer
DONTAVION876
Posted 5 years ago. Direct link to DONTAVION876's post “how to know when you have...”
how to know when you have the correct numbers.
Button navigates to signup pageComment on DONTAVION876's post “how to know when you have...”
(7 votes)
Answer
- PI Technology Π
  Posted 5 years ago. Direct link to PI Technology Π's post “Once you have solved the ...”
  Once you have solved the problem plug your answers and see if both sides of the equation match.
  Comment on PI Technology Π's post “Once you have solved the ...”
  (12 votes)
champ wells
Posted 3 years ago. Direct link to champ wells's post “i think i kinda understan...”
i think i kinda understand it
Button navigates to signup pageComment on champ wells's post “i think i kinda understan...”
(11 votes)
Answer
Esmeralda Stadthagen
Posted 5 years ago. Direct link to Esmeralda Stadthagen's post “would this work for all e...”
would this work for all equations?
Button navigates to signup pageButton navigates to signup page
(5 votes)
Answer
- Inventive and Unique Username
  Posted 5 years ago. Direct link to Inventive and Unique Username's post “This particular method on...”
  This particular method only works for equations in slope-intercept form (y=mx+b, where m is the slope and b is the y-intercept).
  Comment on Inventive and Unique Username's post “This particular method on...”
  (11 votes)