Question

What is the equation, in point-slope form, for a line that goes through

(8, −4)
and has a slope of
−
5
6

?


y+4=−
5
6

(x+8)

y+4=−
5
6

(x−8)

y−4=−
5
6

(x+8)

y−4=−
5
6

(x−8)

Answer 1

B

Explanation:

I did the math

Answer 2

B.
`y+4=-(5)/(6)(x-8)`

Explanation:

The point slope form of a line is
`y-y_1=m(x-x_1)`. Since the slope is -5/6 then m=-5/6. Since the line goes through point (8,-4) then substitute
`x_1=8\\y_1=-4` and simplify.

The equation becomes
`y--4=-(5)/(6)(x-8)\\y+4=-(5)/(6)(x-8)`