Answer:
Solve the equation for y. See example.
Step-by-step explanation:
I'll use 3x + 5y = 15. First subtract 3x from both sides since it is positive.
[tex]3x + 5y = 15 \\ - 3x \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: - 3x[/tex]
[tex]5y = - 3x + 15[/tex]
Now solve for y by dividing each term by 5.
[tex] \frac{5y}{5} = \frac{ - 3}{5} x + \frac{15}{5} [/tex]
Now simplify.
[tex]y = \frac{ - 3}{5} x + 3[/tex]
The slope is
[tex] - \frac{3}{5} [/tex]