Answer:
slope = - [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
- [tex]\frac{1}{2}[/tex] x - [tex]\frac{3}{4}[/tex] 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 = - [tex]\frac{2}{3}[/tex] - 32 ← in slope- intercept form
with slope m = - [tex]\frac{2}{3}[/tex]
