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Leno4ka [110]
3 years ago
12

Find the equation of the line that is perpendicular to y=-2x+1 and contains the point (8, 2).

Mathematics
1 answer:
AleksAgata [21]3 years ago
4 0

Answer:

y = 1/2x - 2

Step-by-step explanation:

In order for a line to be perpendicular to another, the lines must have opposite reciprocal slopes.

Example of an opposite reciprocal slope: -2 ⇒ 1/2

Insert the information into the point-slope formula:

y-y_1=m(x-x_1)\\\\y-2=\frac{1}{2}(x-8)\\\\y-2=\frac{1}{2}x-4\\\\y=\frac{1}{2}x-2

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