Answer:
[tex]-\frac{1}{3}[/tex]
Step-by-step explanation:
y = mx + b
m is the slope and b is the y-intercept.
Subtract x from both sides of the equation.
x - x + 3y = 10 - x
3y = 10 - x
Divide each term by 3.
[tex]\frac{3y}3y} = \frac{10}{3} + \frac{-x}{3}[/tex]
[tex]y = \frac{-x}{3} + \frac{10}{3}[/tex]
Rewrite in slope intercept form.
[tex]y = -\frac{1}{3}x + \frac{10}{3}[/tex]
