Graphing lines from slope-intercept form review

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=mx+by=mx+b, where mm is slope and bb is the yy-intercept.
Slope-intercept form is nice when you're drawing graphs.
For example, imagine we're given the equation y=2x+7y=2x+7 and asked to graph it.
Straight from the equation, we know the yy-intercept is 77.
And we know the slope is 22.
Slope=ΔyΔx=21=2\text{Slope}=\dfrac{\Delta y}{\Delta x}=\dfrac{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.


Problem 1
Graph the following equation.
y=4x1\qquad y=-4x-1
Want more practice? Check out this exercise.