Question

The given line passes through the points and (4,1).

Answer 1

Hey there! :)

Answer:

y -3 = -2(x + 4).

Step-by-step explanation:

Begin by calculating the slope of the line shown in the graph. Use the slope formula:

$m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}$

Plug in two coordinates:

$m = \frac{1-(-3)}{4-(-4)}$

Simplify:

$m = \frac{4}{8}$

$m = \frac{1}{2}$

Therefore, the slope of the line is 1/2.

A line that is perpendicular contains a slope that is the negative reciprocal. Therefore:

1/2 --> -2.

Plug the slope into the point-slope formula:

y -3 = -2(x + 4). This is your equation in point-slope form!