Find the slope and y-intercept.

a. y = 3x - 4 b. 4x - 5y = 15

To understand problems like these, we must understand how Slope Intercept Form (SIF) works, and how to solve an equation.

A

SIF is "y=mx+b" where "m" is the slope and "b" is the y-intercept.

y='m'x+''b''

y='3'x-''4''

We can see that in this equation, the slope is 3/1 or 3, and the y-intercept is - 4.

B

For this one, we must solve for "y," and then proceed with the same thing we did in Part A.

4x-5y=15

-4x - 4x

-5y=-4x+15

/-5 / - 5

y='4/5'x-"3"

Using the math above, we can see that the slope is 4/5, and the y-intercept is - 3.

I think this answer is B