What is the slope of the line whose equation is -48 = 2x -8y?

Answer 1

Put the equation in point-slope form, y=mx+b, where m is the slope. Then, use algebra to get y by itself as shown below:

Start: -48=2x-8y

subtract 2x from both sides

-8y=-2x-48

divide by -8 on both sides

y=1/4x+6

y=mx+b

m=1/4

the slope is 1/4.

Answer 2

The equation of a line in Standard Form is: Ax + By = C

and the slope is (-A/B)

This equation, 2x - 8y = -48 has a slope of (-(-2))/(8) ) = 1/4

Note that this is the same line as: -24 = x - 4y and x - 4y = -24

You may, once and for all, convert Ax+By=C to slope-intercept form:

By = -Ax + C

y = (-A/B)x + C slope is (-A/B)