Question

What is the slope for the following:
3x + 2y = 12

Answer 1

slope = -
`(3)/(2)`

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x + 2y = 12 ( subtract 3x from both sides )

2y = - 3x + 12 ( divide all terms by 2 )

y = -
`(3)/(2)` x + 6 ← in slope- intercept form

with slope m = -
`(3)/(2)`