Question

What is the slope of line represented by 1/8x + 3y =3

Answer 1

1/8x+3y=3
subtract 1/8x from both sides

3y=-1/8x+3
divide both sides by 3

y=-1/24x+1

ANSWER: the slope should be -1/24

Answer 2

Get the equation into slope-intercept form and you will easily see the slope.

(1/8)x + 3y = 3

Solve for y.

(1/8)x + 3y = 3
3y = -(1/8)x + 3 <-- Subtract (1/8)x from each side
y = (-(1/8)x / 3) + (3 / 3) <-- Divide each side by 3
y = -(1/24)x + 1

Now we have the slope-intercept form:

y = -(1/24)x + 1

So, the slope is -1/24.