Greetings!
Arrange the equation in slope y-intercept form to calculate the rate of change (hourly rate):
[tex]y=mx+b[/tex]
Isolate for y:
[tex]45x-3y=-30[/tex]
Add -45x to both sides:
[tex](45x-3y)+(-45x)=(-30)+(-45x)[/tex]
[tex]-3y=-45x-30[/tex]
Divide both sides by -3:
[tex] \frac{-3y}{-3}= \frac{-45x-30}{-3} [/tex]
The Equation Is:
[tex]\boxed{y=15x+10}[/tex]
The Hourly Rate (Represented by the slope) is: $15
The Signing Bonus (Represented by the y-intercept) is: $10
The Graph for this Equation is attached below:
I hope this helped!
-Benjamin
