The given line passes through the points and (4,1). On a coordinate plane, a line goes through (negative 4, negative 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)?

Hey there! :)

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:

Plug in two coordinates:

Simplify:

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!

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