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What is the equation of the line that is perpendicular to y=-x+4 and that passes through (-2,-2)

What is the equation of the line that is perpendicular to y=-x+4 and that passes through-example-1

1 Answer

11 votes

Answer:

The equation is -

y = x

Step-by-step explanation:

Given -

y = x + 4

We have to find a line passing through the point (2, 2) and parallel to the given line.

Find the slope of the given line.

It is the coefficeint of a

mi = 1

The two lines are parallel. Hence m₂ = m₁ = 1 Where m2is the slope of the second

line.

You have slope and the points (2, 2) Find the Y intercept

y = mx + c

2 = (1) (2) + C

2 =2+ C

C= 2- 2=0

Y-Intercept C = Oand slope m₂ = 1

Fix the equation

y = x

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