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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)

Respuesta :

Answer:

Option D

Step-by-step explanation:

Convert to slope-intercept form:

[tex]4x-2y=2[/tex]

[tex]-2y=2-4x[/tex]

[tex]y=-1+2x[/tex]

[tex]y=2x-1[/tex]

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

[tex]y=2x-1[/tex]

[tex]0=2x-1[/tex]

[tex]1=2x[/tex]

[tex]\frac{1}{2}=x[/tex]

[tex]x=\frac{1}{2}[/tex]

Therefore, the x-intercept is [tex](\frac{1}{2},0)[/tex]

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

[tex]y=2x-1[/tex]

[tex]y=2(0)-1[/tex]

[tex]y=0-1[/tex]

[tex]y=-1[/tex]

Therefore, the y-intercept is [tex](0,-1)[/tex]

So, the correct answer is option D.

14amavanessa

Answer:

D

Step-by-step 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

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