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

bis the slope

ais 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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