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motikmotik
3 years ago
8

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

Mathematics
2 answers:
alexandr402 [8]3 years ago
8 0
Y=3= -2 (x + 4)

There u go!
qwelly [4]3 years ago
3 0

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)

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