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RoseWind [281]
3 years ago
14

Identify an equation in point-slope form for the line perpendicular to y = -1/2x + 11 that passes through (4, -8)

Mathematics
1 answer:
andrey2020 [161]3 years ago
6 0

Answer:

y+8 = 2(x-4)

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes. Since we know the slope of the first line is -1/2, this means the slope of the line perpendicular to it is 2.

And since we know the coordinated located on the line, we can fill out the formula for poiny-slope form:

y-y1 = m(x-x1)

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DanielleElmas [232]

Option A:

(x-5)^{2}+(y-3)^{2}=16

Solution:

Given data:

Center of the circle is (5, 3).

Radius of the circle = 4

To find the equation of the circle:

The general form of the equation of a circle in centre-radius format is

(x-h)^{2}+(y-k)^{2}=r^{2}

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Hence Option A is the correct answer.

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