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## Algebra basics

### Course: Algebra basics>Unit 4

Lesson 6: Slope-intercept form intro

# 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, 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: