# Given (2,-2), and and y intercept 4, how do you find the equation of the line?

##### 1 Answer

Use the point-slope - see full explanation below:

#### Explanation:

We have been given two points (the y-intercept is point

First, we must find the slope which requires two points:

The slope can be found by using the formula:

Where

Substituting our two points gives:

Now, having the slope, we can use it and one of the points to use the point-slope formula to find the equation of the line:

The point-slope formula states:

Where

Substituting our slope and one of the points gives:

We can also put it into the more familiar slope-intercept form by solving for