# How do you find an equation of the line containing the given pair of points (-7, -4) and ( -2, -6)?

##### 2 Answers

See a solution process below:

#### Explanation:

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

Where

Substituting the values from the points in the problem gives:

We can now use the point-slope formula to write and equation for the line. The point-slope formula states:

Where

Substituting the slope we calculated and the values from the first point in the problem gives:

We can also substitute the slope we calculated and the values from the second point in the problem giving:

See the explanation.

#### Explanation:

First find the **slope** ,

Either point can be 1 or 2. I'm going by the order listed in the question. Point 1

Insert the points into the equation.

Now use the **point slope form** for a straight line.

Insert either point as

Simplify.

Solve for **slope intercept form** for a straight line:

Subtract