Question

The given line passes through the points (−4, −3) and (4, 1).

Answer 1

Y=3= -2 (x + 4)

There u go!

Answer 2

Answer:

y - 3 = -2(x + 4)

Step-by-step explanation:

First, we must find the slope of the line by using the two points.

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m = \frac{1-(-3)}{4-(-4)} = \frac{1+3}{4+4} = \frac{1}{2}$

The slope of a line that is perpendicular to another is the negative reciprocal of the other line's slope. So the slope of the line perpendicular to the given line is -2. Now we must write the equation in point-slope form:

$y - y_{1} = m(x - x_{1})$

$y - 3 = -2(x-(-4))$

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