# What is the point slope form of the line passing through: (5,7),(6,8)?

##### 1 Answer

See a solution process below:

#### Explanation:

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

Where

Substituting the values from the points in the problem gives:

Now, we can use the point-slope formula to write the equation of the line. The point-slope form of a linear equation is:

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: