Find the x and y intercepts of 1/2x-2y=4!

This would really help me!!!!!

Tutors, sign in to answer this question.

Melissa O. | Qualified Tutor for K-12 Math and SciencesQualified Tutor for K-12 Math and Scienc...

The intercepts of any equation are where the line crosses that axis. For an x-intercept the coordinate point would look something like (x,0), for any value of x. The y value would have to be zero to intercept the x-axis. The same for the y-intercept, it would look like (0,y) because the x value would have to equal zero.

So to solve your problem substitute zero in for the x value first and solve for y. That would give you:

1/2(0) - 2y = 4

0 - 2y = 4

-2y = 4

y=-2

So y equals -2 when x equals 0. Your coordinate would be (0,-2), that's your y-intercept.

Same thing for the x-intercept, we can find that value by substituting 0 for y:

1/2x - 2(0) = 4

1/2x - 0 = 4

1/2x = 4

x=8

So x equals 8 when y equals 0. Your coordinate would be (8,0), that's your x-intercept.

To find the X-intercept, plug 0 in for Y and solve.

1/2X - 2Y = 4

1/2X - 2(0) = 4

1/2X = 4

X = 4*2

X= 8

Because we plugged 0 in for Y, the coordinate is (8,0)

To find the Y-intercept, plug 0 in for X and solve.

1/2X - 2Y = 4

1/2X = 4

X = 4*2

X= 8

Because we plugged 0 in for Y, the coordinate is (8,0)

To find the Y-intercept, plug 0 in for X and solve.

1/2X - 2Y = 4

(1/2)(0) - 2Y = 4

-2Y = 4

Y = 4/-2

-2Y = 4

Y = 4/-2

Y = -2

Because we plugged 0 in for X, the coordinate is (0, -2)

X-Intercept = (8, 0); Y-Intercept = (0, -2)

It may help you to check your answer if you see it visually by graphing the equation.

Because we plugged 0 in for X, the coordinate is (0, -2)

X-Intercept = (8, 0); Y-Intercept = (0, -2)

It may help you to check your answer if you see it visually by graphing the equation.

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.

Greg K.

Experienced and Caring Elementary School Tutor

$12.50 per 15 min

View Profile >

Karen S.

SAT, ACT, HSPT, SSAT, ISEE test prep, in person or online, all ages

$12.50 per 15 min

View Profile >

Timothy H.

Skilled, devoted, patented and published Teacher

$20 per 15 min

View Profile >