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

I can imagine carpenters using this but for most of us think of this as a foundation. These are building blocks to more complicated mathematical expressions. And even here, you can go a lifetime and not use it but if in your life you start to come across some math, it sure is good to have that foundation. Think of it as though you have a chance to learn French. You probably will never need it until a great opportunity opens up for you in France (or Quebec :). Then you will wish you had learned it. In much the same way you are learning a new language with math the you one day you will find comes in really handy.

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. Excellen 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.

If both equations are the exact same, or if one can be simplified to the other, would there be only one intersecting point or will there be more than one. For example: x-y=8 and 2y=2x-16.

There would be infinite solutions because each point satisfies both equations.

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

Unit 5: Lesson 2

Graphing slope-intercept equations

Graphing lines from slope-intercept form review

CCSS.Math:

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, equals, m, x, plus, 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, equals, 2, x, plus, 7 and asked to graph it.

Straight from the equation, we know the y-intercept is 7.

And we know the slope is 2.

start text, S, l, o, p, e, end text, equals, start fraction, delta, y, divided by, delta, x, end fraction, equals, start fraction, 2, divided by, 1, end fraction, equals, 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, equals, minus, 4, x, minus, 1

Want more practice? Check out this exercise.

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sbabrrett
Posted 3 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...”
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- 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...”
  (19 votes)
ndsmith935
Posted 2 years ago. Direct link to ndsmith935's post “i do not like this at all...”
i do not like this at all..
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- 1140858
  Posted a month 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 ...”
  (11 votes)
chloef
Posted 4 years ago. Direct link to chloef's post “math people... how do the...”
math people... how do they get this stuff
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- Jordan Daniel
  Posted a year 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...”
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paul.s852
Posted 4 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 ...”
(33 votes)
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- John Scheibel
  Posted a year ago. Direct link to John Scheibel's post “I can imagine carpenters ...”
  I can imagine carpenters using this but for most of us think of this as a foundation. These are building blocks to more complicated mathematical expressions. And even here, you can go a lifetime and not use it but if in your life you start to come across some math, it sure is good to have that foundation.
  
  Think of it as though you have a chance to learn French. You probably will never need it until a great opportunity opens up for you in France (or Quebec :). Then you will wish you had learned it. In much the same way you are learning a new language with math the you one day you will find comes in really handy.
  Button navigates to signup page
  (11 votes)
Grace Matson
Posted 3 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...”
(13 votes)
Answer
- Rocket Boys
  Posted 3 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.
  
  Excellen question, by the way.
  Comment on Rocket Boys's post “Slope means how steep a l...”
  (7 votes)
2024collettekitchen
Posted 4 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?
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(13 votes)
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DONTAVION876
Posted 4 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 pageButton navigates to signup page
(6 votes)
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- PI Technology Π
  Posted 4 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 ...”
  (10 votes)
champ wells
Posted 2 years ago. Direct link to champ wells's post “i think i kinda understan...”
i think i kinda understand it
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Esmeralda Stadthagen
Posted 4 years ago. Direct link to Esmeralda Stadthagen's post “would this work for all e...”
would this work for all equations?
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- Inventive and Unique Username
  Posted 4 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...”
  (10 votes)
Riley Hopkins
Posted 5 years ago. Direct link to Riley Hopkins's post “If both equations are the...”
If both equations are the exact same, or if one can be simplified to the other, would there be only one intersecting point or will there be more than one. For example: x-y=8 and 2y=2x-16.
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- Dragon Boy
  Posted 2 months ago. Direct link to Dragon Boy's post “There would be infinite s...”
  There would be infinite solutions because each point satisfies both equations.
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