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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 =

User BlueC
by
5.2k points

1 Answer

1 vote
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)
User Tim Rae
by
5.9k points
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