Question

Which equation represents the line passing through the point (4,-16) and is perpendicular to the line y=-2/3 x+8?

Answer 1

What's the slope of the given line?

Answer 2

does not say

Answer 3

hint: y = mx+b has a slope of m

Answer 4

so something like y = 7x + 10 has a slope of 7 (because m = 7)

Answer 5

the slope would be -2/3

Answer 6

good, what's the perpendicular slope?

Answer 7

16?

Answer 8

no, to find the perpendicular slope you flip the fraction and flip the sign

Answer 9

flip the fraction: -2/3 ----> -3/2

flip the sign: -3/2 ----> 3/2

Answer 10

sound familiar?