Question

What are the x- and y-intercepts of the graph of the equation?

4x−3y=12



A. x-intercept: −4
y-intercept: −3

B. x-intercept: 3
y-intercept: 4

C. x-intercept: −4
y-intercept: 3

D. x-intercept: 3
y-intercept: −4

Answer 1

To solve, let each variable equal 0 one equation at a time

First, solve for x (y will equal 0)

4x - 3y = 12

4x -3(0) = 12

4x = 12

x = 3

Solve for Y (x will equal 0)

4x - 3y = 12

-3y = 12

y = -4

D (3, -4)

Answer 2

4x - 3y = 12

the y intercept occurs when x = 0, so

4(0) - 3y = 12

-3y = 12

y = -4 Answer y intercept is at (0, -4)

x - intercept is when y = 0, so

4x - 3(0) = 12

4x = 12

x = 3 answer :- x intercept is at (3 , 0)

Its choice D