# How do you write an equation in SLOPE-INTERCEPT form of the line passing through the given points (2, 7), (1, -4)?

##### 2 Answers

#### Explanation:

The slope-intercept form is

The slope is given by the change in

which gives us

Now substitute in values for

and put this back into the equation

#### Explanation:

Slope intercept formula:

1) find the slope of the two points by using the formula:

We now have so far:

We can use a sample coordinate to find the value of b or the y-intercept (the place where the line crosses the y-axis).

We can use (2,7) where

Solve for b.

Slope-intercept form: