Question

Write an equation in point-slope form for the line through the given point with the given slope. The point 9, negative 1; m equals four thirds. A. y minus 0 equals four thirds times the quantity x plus 1 end of quantity. B. y minus 1 equals four thirds times the quantity x minus 9 end of quantity. C. y minus 1 equals four thirds times the quantity x plus 9 end of quantity. D. y plus 1 equals four thirds times the quantity x minus 9 end of quantity.

Answer 1

The point-slope form:

`y-y_1=m(x-x_1)`

We have:

`(9,\ -1)\to x_1=9,\ y_1=-1\\\\m=(4)/(3)`

Substitute:

`y-(-1)=(4)/(3)(x-9)\\\\y+1=(4)/(3)(x-9)`

Answer:

D. y plus 1 equals four thirds times the quantity x minus 9 end of quantity.