What is the difference between an x-intercept/zero and y-intercept?

an x-intercept is the point where the graphed line passes through the x-axis. The y-intercept is the point where the graphed line passes through the y-axis.

Step-by-step explanation:

when you say x intercept/0 do you mean when the function is x=0? the answer to that is that your graphed line will be horizontal when y=0 the graphed line will be vertical. the slope of the function x=0 is undefined while the function y=0 the slope is 0 slope

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )