Greetings!
Firstly, the slope is found by rearranging the formula:
3y = 4x + 39
y = [tex]\frac{4x}{3}[/tex] + [tex]\frac{39}{3}[/tex]
When x is 0, y = 0(x) + [tex]\frac{39}{3}[/tex], so the y intercept is [tex]\frac{39}{3}[/tex]
Next, the slope is simply the number in front of the x,
So [tex]\frac{4x}{3}[/tex] can be rearranged to [tex]\frac{4}{3}x[/tex], so the slope would be [tex]\frac{4}{3}[/tex].
Hope this helps!
