What is the equation of the line with the same slope as the equation x-4y=3 and the y-intercept (0,-8) ?

M=yx+b (y-intercept = b) (m=slope), X-4y=3 - > root-3,0 vertical intercept - (0, - 3/4)

y = 1/4x - 8

Step-by-step explanation:

First find the slope of the line

x-4y = 3

Subtract x from each side

x-4y - x = - x+3

-4y = - x+3

Divide each side by - 4

-4y/-4 = - x/-4 + 3/-4

y = 1/4 x - 3/4

This is in the form y = mx+b where the slope is m and the y intercept is b

The slope is 1/4

We want the same slope

y = 1/4x + b

we know the y intercept is - 8

y = 1/4x - 8