Question

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

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 $y+2=-3(x-2)$.