Question

Identify the x-intercept and y-intercept of the line 4x-2y=-12

Answer 1

To solve this question, plug in the ordered pairs given (note it is (x,y) ) into the equation.

(B) The x-intercept is (0,6) and the y-intercept is (-3,0)

4x - 2y = -12

x-intercept:

4(0) - 2(6) = -12

0 - 12 = -12

-12 = -12 (True)

y-intercept:

4x - 2y = -12

4(-3) - 2(0) = -12

-12 - 0 = -12

-12 = -12 (True)

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hope this helps

Answer 2

4x - 2y = -12

To find the x and y intercepts, plug in 0 for y (if solving for x intercept) and plug in 0 for x (if solving for y intercept) and solve. That will give you the x and y intercepts.

Let's solve for the x intercept first, so plug in 0 for y. Anything multiplied by 0 is equal to 0, so after plugging in 0 for y you can take -2y out of the problem (because it is now 0). Your new equation will look like this:

4x = -12

Divide both sides of the equation by 4 to isolate the variable x.

x = -3

Your x intercept is at (-3, 0). Based on the answers, your answer should be D because that is the only answer with an x intercept of -3. Now let's solve for the y intercept just to be safe and make sure we're correct.

Plug in 0 for x; your equation should now look like this:

-2y = -12

Divide both sides of the equation by -2 to isolate the variable y.

y = 6

Your y intercept is (0, 6). Based on the x and y intercepts we found, your answer should be D because the x intercept is -3 and the y intercept is 6.

D) The x intercept is (-3, 0) and the y intercept is (0, 6).