Question

What is the rate of change of y with respect to x for the equation 2x - 3y = 6?

Answer 1

2/3

Explanation:

We're just finding the slope, which can be determined by converting the equation into slope-intercept form:

`2x-3y=6\\-3y=6-2x\\y=-2+(2)/(3)x\\y=(2)/(3)x-2`

Therefore, the rate of change of y with respect to x is 2/3.