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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)

2 Answers

7 votes

Answer:

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

User Flat Eric
by
7.6k points
4 votes

Answer:

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.

User Kevin Bowersox
by
7.9k points

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