How do you find the slope of 3x + 5y = -2?

1 Answer
May 6, 2018

m=-3/5

Explanation:

You want to convert the equation to the form: y=mx+b, where m is the slope, and b is the y-intercept.

[1]" "3x+5y=-2

Our goal will be to isolate y. We start by subtracting 3x from both sides.

[2]" "3x+5y-3x=-2-3x

[3]" "5y=-2-3x

Next, we want to remove the coefficient of y, so we multiply 1/5 to both sides.

[4]" "(1/5)5y=(1/5)(-2-3x)

[5]" "y=-2/5-(3/5)x

We have met our goal of converting the equation to slope-intercept form. The slope is simply the coefficient of x.

:." "color(blue)(m=-3/5)