Answer: [tex]m=\frac{5}{3} =1.67[/tex]
Step-by-step explanation:
- Original equation: [tex]5x-3y=-12[/tex]
- Subtract 5x from both sides of the equation: [tex]-3y=-5x-12[/tex]
- Divide both sides of the equation by -1: [tex]3y=5x+12[/tex]
- Divide both sides of the equation by 3 to get y on the left, leaving the equation in [tex]y=mx+b[/tex] form: [tex]y=\frac{5}{3}x+4[/tex]
- Evaluate. Slope is equal to m in this form, so the slope is [tex]m=\frac{5}{3}[/tex].
Hope this helps!
