Question

What’s the slope of the line?

Answer 1

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

Explanation:

The equation of a line in slope- intercept form is

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

Given

-
`(1)/(2)` x -
`(3)/(4)` y = 24 ( multiply through by 4 to clear the fractions )

- 2x - 3y = 96 ( add 2x to both sides )

- 3y = 2x + 96 ( divide terms by - 3 )

y = -
`(2)/(3)` - 32 ← in slope- intercept form

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