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A line is perpendicular to y = -x-2
and intersects the point (-5, 10).
What is the equation of this
perpendicular line?
y = x + [?]

Sagot :

Xero099idn

The equation of the perpendicular line is y = x + 15.

How to determine the equation of the perpendicular line

In this problem we need to determine the equation of the line perpendicular to another line, that intersects at the point (x, y) = (- 5, 10). The explicit form of the equation of the line is defined by the following first order polynomial:

y = m · x + b      

Where:

  • m - Slope
  • b - y-Intercept
  • x - Independent variable
  • y - Dependent variable

The first line has a slope - 1 and the slope of the second line is:

m' = - 1 / m

m' = 1

Then, the intercept of the second line is:

b = y - m · x

b = 10 - (- 5)

b = 15

The equation of the perpendicular line is y = x + 15.

To learn more on equations of the line: https://brainly.com/question/2564656

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