Question

Through (-20,4) and perpendicular to y=x+5

Answer 1

Answer:  y = -x - 16

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Explanation:

The given equation is the same as y = 1x+5 which is in y = mx+b form.

• m = slope = 1
• b = y intercept = 5

Anything perpendicular to this will have a slope of -1, which is the negative reciprocal of the original slope.

We'll use this perpendicular slope along with (x,y) = (-20,4) to find the equation of the perpendicular line.

y = mx+b

y = -1x+b ... plug in the perpendicular slope

4 = -1*(-20)+b ... plug in the x,y coordinates

4 = 20+b

4-20 = b

-16 = b

b = -16

Therefore, we go from y = mx+b to y = -x-16