Question

Find the slope of a line with equation 4y + x = 8.

Answer 1

m = -1/4

Explanation:

4y + x = 8

Arrange the equation in a slope intercept form y = mx+b, where m is the slope

4y + x = 8, subtract x from both sides

4y = -x +8, divide both sides by 4

y = -x/4 + 8/4 , simplify

y = -x/4 + 2, compare this to the general form y=mx+b and we see that the slope m = -1/4

Answer 2

m = -1/4

Explanation:

4y + x = 8

Arrange the equation in a slope intercept form y = mx+b, where m is the slope

4y + x = 8, subtract x from both sides

4y = -x +8, divide both sides by 4

y = -x/4 + 8/4 , simplify

y = -x/4 + 2, compare this to the general form y=mx+b and we see that the slope m = -1/4