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

1 Answer
May 6, 2018

Answer:

#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)#