Question

Identify the x-intercept and y-intercept of the line 4x−2y=−12. Select one: a. The x-intercept is (0,-3) and the y-intercept is (6,0). b. The x-intercept is (-3,0) and the y-intercept is (0,6). c. The x-intercept is (4,0) and the y-intercept is (0,-2). d. The x-intercept is (0,6) and the y-intercept is (-3,0).

Answer 1

the answer is x=-3 and y=6 so that means it is B.

4x-2y=-12

then; plug in 0 for x and then solve;

y=6

then do the same for the other side. plug in 0 for y and then solve.

x=-3

Hope this helps!

Answer 2

The answer is option B

Explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the y intercept rewrite the equation in the above form

That's

4x - 2y =- 12

2y = 4x + 12

Divide both sides by 2

y = 2x + 6

comparing with the above formula the y intercept is 6

That's

(0 , 6)

The x intercept of a line the x coordinate on the line when y = 0

To find the x intercept let y = 0

That's

2x + 6 = 0

2x = - 6

Divide both sides by 2

x = - 3

The x intercept is - 3

That's

(- 3 , 0)

Hope this helps you