Question

Write an equation in slope intercept form for the line through the given point with the given slope (8 -3)m= -1/4

A y-3=-1/4(x-8)
B y-8=-1/4(x+3)
C y-3=-1/4(x+8)
Y+3=-1/4(x-8)
SOME ONE PLEASE ANSWER

Answer 1

y+3= -1/4(x-8)

Explanation:

Answer 2

The slope-intercept form:

`y=mx+b`

m - slope

b - y-intercept

We have the slope
`m=-(1)/(4)\to y=(1)/(4)x+b`

and point (8, -3). Substitute:

`-3=-(1)/(4)(8)+b`

`-3=-2+b` add 2 to both sides

`-1=b\to b=-1`

Answer:
`y=-(1)/(4)x-1`

The point-slope form:

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

Substitute:

`y-(-3)=-(1)/(4)(x-8)\\\\\boxed{y+3=-(1)/(4)(x-8)}\to\boxed{D.}`}