Slope Intercept Form of a Linear Equation


The slope intercept form of a linear equation has the following form where the equation is solved for y in terms of x:

y = a + bx

b  is the slope

a  is a constant term. It is the y intercept, the place where the line crosses the y axis.

 

Example 1

y = -13 + 7x

This equation is in slope intercept form. The y intercept is (0,-13) and the slope is 7.

Example 2

4x + 3y = 12

Rewrite this equation in slope intercept form.

3y = 12 - 4x

The equation is now in slope intercept form. The y intercept is (0,4) and the slope is
-4/3.

 

Example 3

5x - 3y - 15 = 0

Rewrite this equation in slope intercept form.

3y = -15 + 5x

The equation is now in slope intercept form. The y intercept is (0,-5) and the slope is
5/3.

Example 4

The equation is now in slope intercept form. The y intercept is (0,-7.5) and the slope is
1.5.

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