floryadrianna
floryadrianna floryadrianna
  • 22-12-2020
  • Mathematics
contestada

A line passes through (1, 8) and is perpendicular to the graph of y = 2x+1. What equation
represents the line in slope-intercept form?

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vichingmachine vichingmachine
  • 22-12-2020

Answer:

y = -1/2x + 17/2

Explanation:

y = 2x + 1 is in slope intercept form

in the equation y = mx+b, m is the slope, and in the equation m =2

the slope of a perpendicular line is the negative reciprocal of the other slope.

slope of perpendicular= -1/m = -1/2

y = -1/2x + b

now find b by substituting in (1,8) into the partial equation

8 = -1/2 + b

b = 8+ 1/2

b = 17/2

please give thanks :) hope this helps

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