Question

What is the slope of a line parallel to the following line: 5x + 8y = 50

Answer 1

-5/8x

Explanation:

First you need to find the slope of the given line.

Do this by converting it to slope intercept form (y=mx+b)

Divide the whole equation by 8 to isolate the y variable.

After dividing by 8 you should now have 5/8x + y = 6.25

Now you need to subtract y and 6.25 to isolate y

5/8x - 6.25 = -y

Now you have to divide the whole equation by negative 1 to make y positive. You end up with: y = -5/8 + 6.25

We know that the slopes of parallel lines are equal. Therefore the answer is -5/8x

Answer 2

-5/8

Explanation:

Convert standard form to slope-intercept form to find the slope.

5x + 8y = 50

8y = -5x + 50

y = -5/8x + 50/8

Slope: -5/8