Answer :
Answer: 1.5
Step-by-step explanation:
The equation of a line in slope - intercept form is given as :
y = mx + c , where :
m = slope
c = y - intercept
Given:
2y = 3x - 30
What we need to do is to write it in slope - intercept form, we will make y the subject of formula.
Divide the equation through by 2
2y/2 = 3x/2 - 30/2
y = 3x/2 - 15
comparing with y = mx + c
slope = 3/2 = 1.5
[tex]\text{In your case, we're trying to find the slope}\\\\\text{In order for you to find your slope, the y variable has to be 1}\\\\\text{To do this, we would divide the equation by 2.}\\\\\text{Divide:}\\\\2y=3x-30\\\\y=\frac{3}{2}x-15\\\\\text{When you divide, you would see that your slope would be 3/2}\\\\\boxed{\text{Slope:}\,\frac{3}{2}}[/tex]