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kherson [118]
2 years ago
14

Urgent: What is an equation of the line perpendicular to y=-x-2 and through (-2,4)?

Mathematics
2 answers:
Aleksandr [31]2 years ago
8 0
Point slope form- y-4=(x+2)
Slope intercept- y=x+6
sasho [114]2 years ago
6 0
Perpendicular line means the gradient will be negative reciprocal. The gradient of the line that is given is -1.

Therefore the gradient of the perpendicular line is -1 / -1 = 1

Now we know the equation is y=x+c

We want to find out what c is.

To do this, we substitute in the coordinates given:

4 = 1(-2) + c

4 = -2 + c

C= 6

Therefore the perpendicular line equation is:

y = x + 6

I hope this has helped you today,

Any questions please ask me in the comments below.

Have a great day!
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