Question

The slope of the line below is -3. Which of the following is the point-slope

form of the line?
-5
5
• (2,-2)

Answer 1

Given:

The slope of the line is -3.

The line passes through the point (2,-2).

To find:

The point-slope form of the line.

Solution:

Point slope form: If a line passes through the point
`(x_1,y_1)` with slope m, then the point-slope form of the line is:

`y-y_1=m(x-x_1)`

The slope of the line is -3 and it passes through the point (2,-2). So, the point-slope form of the line is:

`y-(-2)=-3(x-2)`

`y+2=-3(x-2)`

Therefore, the required point slope form of the given line is
`y+2=-3(x-2)`.