Algebra basics (ASL)
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 , where is slope and is the -intercept.
Slope-intercept form is nice when you're drawing graphs.
For example, imagine we're given the equation and asked to graph it.
Straight from the equation, we know the -intercept is .
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 .
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.
Graph the following equation.
Want more practice? Check out this exercise.
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