Question

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

What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (−4, 3)?

y − 3 =

Answer 1

ANSWER


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

EXPLANATION

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

is


`= (1 - - 3)/(4 - - 4)`

`= (4)/(8)`

`= (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)`