# How do you write the point-slope form of an equation of the line that passes through the given point (-2,5), (9,5)?

##### 1 Answer

See a solution process below:

#### Explanation:

First, we need to determine the slope of the line. The slope can be found by using the formula:

Where

Substituting the values from the points in the problem gives:

The point-slope formula states:

Where

We can substitute the slope we calculated and the values from the first point in the problem line to give the formal point-slope form for the equation of the line represented by the two points in the problem.

We can also substitute the slope we calculated and the values from the second point in the problem line to give the formal point-slope form for the equation of the line represented by the two points in the problem.

If necessary, we can also reduce both these equations down to:

Or