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.

Respuesta :

gmany

The point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

We have:

[tex](9,\ -1)\to x_1=9,\ y_1=-1\\\\m=\dfrac{4}{3}[/tex]

Substitute:

[tex]y-(-1)=\dfrac{4}{3}(x-9)\\\\y+1=\dfrac{4}{3}(x-9)[/tex]

Answer:

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