Question

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

Answer 1

ANSWER

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

EXPLANATION

The slope of the line through (−4, −3) and (4, 1).

is

$= \frac{1 - - 3}{4 - - 4}$
$= \frac{4}{8}$
$= \frac{1}{2}$

The slope of the line perpendicular to it is

$- 2$

The point -slope form is given by the formula

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

Where
$(x_1,y_1)=(-4,3)$

The required equation is;

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