Question

Please Help!

30. Write an equation in point-slope form for the line through the given point with the given slope. (-7,9); m=4/5

A. y+7= 4/5(x-9)
B. y-7=4/5(x+9)
C. y-9=4/5(x+7
D. y+9=4/5(x-7)

Answer 1

C.
`y - 9 = (4)/(5)(x + 7)`

Explanation:

The equation of a straight line through a point
`(x_(1), y_(1))` with slope m is given by

`y - y_(1) = m(x - x_(1))\\y - 9 = (4)/(5)(x - (-7))\\y - 9 = (4)/(5) (x + 7)`

Therefore the answer is C.
`y - 9 = (4)/(5)(x + 7)`