**We have ruled-in one answer (0,-2)**, and ruled-out the other (0,2).

The options are; (0,2) (-4,0), (-4, -2) (0, -2)

Tutors, sign in to answer this question.

Hi Adeline;

2x – 4y = 8

(0,2) (-4,0), (-4, -2) (0, -2)

(0,2) and (0,-2) are y-intercepts, the value of y when x=0.

The equation is currently in standard form...

Ax+By=C, A>0

Let's convert the equation into slope-intercept form..

y=mx+b

m is the slope.

b is the y-intercept.

2x-4y=8

Let's subtract 2x from both sides...

2x-2x-4y=-2x+8

-4y=-2x+8

Let's divide both sides by -4...

(-4y)/-4=(-2x+8)/-4

y=(1/2)x-2

y-intercept is -2, (0,-2)

(-4,0) is the x-intercept, the value of x when y=0.

Let's return to the original equation and plug-in y=0...

2x – 4y = 8

2x-[(4)(0)]=8

2x=8

x=4

This is the wrong result. We have ruled-out another answer, (-4,0).

(-4,-2)

This one has no special features. We will have to plug it into the equation...

2x-4y=8

[(2)(-4)]-[(4)(-2)]=8

-8-(-8)=8

Subtracting a negative number is the same as adding a positive number...

-8+8=8

Does not work.

Shelly J. | Excellent Maths Tutoring for academic successExcellent Maths Tutoring for academic su...

Hi Adeline,

2x-4y=8

left hand side =L.H.S and right hand side = R.H.S

If L.H.S=R.H.S, then the given ordered pair is the solution of the equation.

1) (0,2)

L.H.S=2(0)-4(2)=0-8=-8≠8=R.H.S

(0,2) is not the solution.

2) (-4,0)

L.H.S=2(-4)-4(0)=-8-0=-8≠8=R.H.S

(-4,0) is not the solution.

3) (-4,-2)

L.H.S=2(-4)-4(-2)=-8+8=0≠8=R.H.S

(-4,-2) is not the solution.

4) (0,-2)

L.H.S=2(0)-4(-2)=0+8=8=R.H.S

(0,-2) is the solution.

Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...

2X - 4Y = 8

( 0,2)

a.

2(0) - 4 ( 2 ) = -8

No

b.

( - 4, 0 )

2 ( -4 ) - 4 ( 0 ) = -8

No

c.

( - 4 , -2 )

2( -4 ) - 4 ( - 2) = 0

No.

d.

( 0 , - 2)

( 0 , - 2)

2 ( 0 ) - 4 ( -2 ) =0 +8 = 8

Yes

The correct answer is d.

Already have an account? Log in

By signing up, I agree to Wyzant’s terms of use and privacy policy.

Or

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Your Facebook email address is associated with a Wyzant tutor account. Please use a different email address to create a new student account.

Good news! It looks like you already have an account registered with the email address **you provided**.

It looks like this is your first time here. Welcome!

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Please try again, our system had a problem processing your request.