Answer:
[tex]y = \frac{2}{3}x + 5[/tex] is the y = mx + b form.
Step-by-step explanation:
Here, the given equation is -2x + 3y = 15
Simplifying this equation in the form : y = mx +b
Transposing the x variable terms on the other side, we get
3y = 15 + 2x
or, y = (15 + 2x)/ 3
or, [tex]y = \frac{2}{3}x + \frac{15}{3}[/tex]
⇒ [tex]y = \frac{2}{3}x + 5[/tex]
Comparing this with y = mx + b, we get
m = (2/3) and b = 5