Question

Find the slope of the line that is defined by 2y=3x-30​

Answer 1

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

Answer 2

$\text{In your case, we're trying to find the slope}\\\\\text{In order for you to find your slope, the y variable has to be 1}\\\\\text{To do this, we would divide the equation by 2.}\\\\\text{Divide:}\\\\2y=3x-30​\\\\y=\frac{3}{2}x-15\\\\\text{When you divide, you would see that your slope would be 3/2}\\\\\boxed{\text{Slope:}\,\frac{3}{2}}$