Step-by-step explanation:
Turn the standard form equation into a slope-intercept form equation using algebra.
Slope-intercept form: [tex]y=mx+b[/tex]
Key:
Subtract each side by 3x:
[tex]8y=-3x+5[/tex]
Divide each side by 8:
[tex]y=-\frac{3}{8} x+\frac{5}{8}[/tex]
-3/8 is in the position of m, the slope.
The slope is -3/8.
