Question

Which is an equation of the.line with a slope of 1/4 and a y-intercept if -2?

A. x-4y=8
B. x+4y=-8
C. 4x+y=-2
D. 4x-y=2

Answer 1

A. x-4y=8

Explanation:

Slope =
`(1)/(4)`

y-intercept = -2

In y=mx+b

m = slope

b = y-intercept

Just replace m with 1/4 and b with -2

`y = (1)/(4) x -2\\`

Multiply through by 4 and re-arrange

`4(y=(1)/(4) x -2)\\\\4y =x -8\\0 =-4y +x-8\\8 =-4y+x\\\\x -4y =8`