Question

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = (x – 8). What is the slope-intercept form of the equation for this line?

A) y = 1/4x – 12
B) y = 1/4x – 4
C) y = 1/4x + 2
D) y = 1/4 x + 6

Answer 1

Answer:c

Explanation:

bc

Answer 2

`y-4=(1)/(4)(x-8)`

The slope-intercept form:
`y=mx+b`

m - a slope
b - y-intercept (0; b)

The point-slope form:
`y-y_0=m(x-x_0)`

therefore
`m=(1)/(4)`

We have a point (0; 2) ⇒ it's the y-intercept, therefore
`b=2`


Answer:
`C)\ y=(1)/(4)x+2`

Other method:


`y-4=(1)/(4)(x-8)\ \ \ \ \ |use\ distributive\ property:\ a(b-c)=ab-ac\\\\y-4=(1)/(4)x-2\ \ \ \ \ \ |add\ 4\ to\ both\ sides\\\\y=(1)/(4)x+2`