# How do you write the point slope form of the equation given (-2,4) parallel to #y=-5/2x+5#?

##### 1 Answer

See a solution process below:

#### Explanation:

The equation in the problem is in slope-intercept form. The slope-intercept form of a linear equation is:

Where

Therefore the slope of this line is:

Because the line we are looking for is parallel to this line by definition it will have the same slope.

The point-slope formula states:

Where

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