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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+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=2x+7 and asked to graph it.
Straight from the equation, we know the y-intercept is 7.
A first quadrant coordinate plane. The x- and y-axes each scale by one. The point zero, seven is plotted.
And we know the slope is 2.
Slope=ΔyΔx=21=2
So, for every one unit we go to the right, we must go up two units:
A first quadrant coordinate plane. The x- and y-axes each scale by one. A graph of a line goes through the points zero, seven and one, nine which are plotted. There is a horizontal segment from zero, seven to one, seven. There is a vertical line from one, seven to two, nine.
Here is our final graph:
A first quadrant coordinate plane. The x- and y-axes each scale by one. The equation y equals two x plus seven is graphed.
Want to learn more about graphing equation from slope-intercept form? Check out this video.

Practice

Problem 1
Graph the following equation.
y=4x1

Want more practice? Check out this exercise.

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