Question

Can someone please help me with this?

Find the x- and y-intercepts of the equation.
4x − 2y = 2

(A) (1/2,0). (0,1)
(B). (2, 0), (0, −1)
(C). (2, 0), (0, −1)
(D). (1/2, 0), (0, −1)

Answer 1

D

Explanation:

1. To find the x intercepts, set y equal to 0 and solve for x

4x - 2y = 2

4x -2(0) = 2

4x - 0 = 2

4x = 2

x = 1/2

2. To find the y intercepts, set x equal to 0 and solve for y

4x - 2y = 2

4(0) - 2y = 2

0 - 2y = 2

-2y = 2

y = -1

Answer 2

Option D

Explanation:

Convert to slope-intercept form:

`4x-2y=2`

`-2y=2-4x`

`y=-1+2x`

`y=2x-1`

Find the x-intercept by plugging in y=0:

`y=2x-1`

`0=2x-1`

`1=2x`

`(1)/(2)=x`

`x=(1)/(2)`

Therefore, the x-intercept is
`((1)/(2),0)`

Find the y-intercept by plugging in x=0:

`y=2x-1`

`y=2(0)-1`

`y=0-1`

`y=-1`

Therefore, the y-intercept is
`(0,-1)`

So, the correct answer is option D.