Question

Find the slope and y-intercept. a. y = 3x - 4 b. 4x - 5y = 15

Answer 1

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.