alejandro23841 alejandro23841
  • 02-11-2019
  • Mathematics
contestada

Write the equation in slope-intercept form of the line that contains (3,4) and is perpendicular to y=-2x-4

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a5904640
a5904640 a5904640
  • 02-11-2019

If a line is perpendicular to other his slopes are the opposite inverse of each other

So, if y = -2x - 4 we have the slope of -2, so the slope of the other line will be the opposite inverse which means

opposite of -2 = 2

inverse of 2 = 1/2

So our slope is 1/2

(y - yo) = m.(x - xo)

(y - 4) = 1/2.(x - 3)

y - 4 = x/2 - 3/2

y = x/2 - 3/2 + 4

y = x/2 + 5/2

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