How do you find the slope of 3x + 2y = -6?

1 Answer
Feb 5, 2017

See the entire solution process below:

Explanation:

To find the slope we should convert this equation to slope-intercept form. The slope-intercept form of a linear equation is:

y = color(red)(m)x + color(blue)(b)

Where color(red)(m) is the slope and color(blue)(b) is the y-intercept value.

Solving for y gives:

3x + 2y - color(red)(3x) = -6 - color(red)(3x)

3x - color(red)(3x) + 2y = - color(red)(3x) - 6

0 + 2y = -3x - 6

2y = -3x - 6

(2y)/color(red)(2) = (-3x - 6)/color(red)(2)

(color(red)(cancel(color(black)(2)))y)/cancel(color(red)(2)) = (-3x)/color(red)(2) - 6/color(red)(2)

y = color(red)(-3/2)x - color(blue)(3)

With the equation in slope-intercept form we now know the slope is:

color(red)(m = -3/2)