What is the slope of the line determined by the equation - 1/2x+3/4y=0

A. 0

B. 1/2

C. - 1/2

D. - 3/4

E. undefined

The slope is 2/3

Step-by-step explanation:

-1/2x+3/4y=0

To find the slope, we need to get the equation in the form y = mx+b

Add 1/2x to each side

-1/2x + 1/2 x+3/4y=0+1/2x

3/4 y = 1/2x

Multiply by 4/3 to isolate y

4/3 * 3/4 y = 4/3 * 1/2 x

y = 2/3 x

The slope is 2/3 and the y intercept is 0