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statuscvo [17]
3 years ago
11

Find the equation of the line that passes through the point (-5,7) and is perpendicular to the line y=-x+12.

Mathematics
1 answer:
insens350 [35]3 years ago
8 0

Answer:

y=x+12

Step-by-step explanation:

y=-x+12; is a line with slope m1=-1

to find perpendicular slope of intersecting line take the negative inverse of m1. so -1*(1/(-1))=1=m2

use equation for a line of y=m*x+b and put in the point (-5,7) and solve for b=the y axis intercept

7=1*(-5)+b

7=-5+b

12=b

so

y=x+12

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Given:

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\begin{gathered} x-5y=-9 \\ (-4)-5(1)=-9 \\ -4-5=-9 \\ -9=-9 \end{gathered}

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