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

Lesson 4: Lesson 8: Translating to y=mx+b

# Graph from slope-intercept equation

To graph a linear equation in slope-intercept form, we can use the information given by that form. For example, y=2x+3 tells us that the slope of the line is 2 and the y-intercept is at (0,3). This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line. Created by Sal Khan and Monterey Institute for Technology and Education.

## Want to join the conversation?

• What if the slope is a whole number like 3? Would it move 3 on the Y axis every time it's moved 1 on the X? (I know my terminology is probably off but you get the point)
• Yes, exactly! When you put 3 as a fraction it would be 3/1, right? Go up 3, and go right one.
• my mind is already fried, i cant do this lol
• i agree with that, very relatable
• After all of this i still don't get it
• Fr Khan academy is not my favorite source but my teachers have us use it.
• since your y intercept was a negative shouldn't the slope be a negative
• No, the y intercept has nothing to do with the slope.
• When will I use this in real life, not in a math classroom.
• Probably never
• After watching this video, I'm still confused. I wish there was a way to get a video on the questions I'm getting. For example: y=3x-3 or y=-x+1 or y=1/2x-2. I am visual, it would teach me much better. But whatever, I'll keep trying!
• Your examples work the same way as the video. The constant term will always be your y-intercept, and the coefficient of x will always be your slope. Once you plot your y-intercept, plot another point using your slope. Then connect the dots! If you want to make sure you got it correct, you can also plot an extra point, but you don't have to.
• How would you write 6x+5y=20 in plot-intercept form. I can't seem to figure out how you can divide 6x by 5.
The video is great. Thanks
• So you're trying to put 6x+5y=20 into y=mx+b.

Let's try it step by step:
6x+5y=20
6x+5y(-6x)=20(-6x) --> 5y=20-6x
5y(/5)=20-6x (/5) --> y=4-6x/5 (whether you write it as 6x/5 or (6/5)x.. it doesn't really matter, because it's the same thing)

I hope that helps - I see where you are getting confused. That was also my problem when I was learning this...
• But in my question, I don't have a fraction and therefore don't know the slope. What do I do?
• If your equation is of the form: y=mx+b, then you do have a slope. The slope does not need to look like a fraction. For example:
y=2x-5. The slope=2. As a fraction this is 2/1.
y=x-5. The slope=1. As a fraction this is 1/1
y=0.5x-3. The slope=0.5, which in fraction form is 1/2

Hope this helps.