SOLUTION: find the y intercept and x intercept for the equation 2x-4y=16 order of pairs please

Algebra.Com
Question 477405: find the y intercept and x intercept for the equation
2x-4y=16
order of pairs please

Answer by bucky(2189)   (Show Source): You can put this solution on YOUR website!
Given the equation 2x - 4y = 16
.
You are asked to find the y intercept and the x intercept.
.
It helps to understand that any coordinate point on the y axis has 0 as the value of x. Therefore, to find the value of the y intercept, just go to the equation and set x equal to zero. When you do that, the equation becomes:
.
(2*0) - 4y = 16
.
and this reduces to:
.
-4y = 16
.
Solve for y by dividing both sides by -4 and you get:
.
y = 16/-4 = -4
.
So the y intercept is the point (0, -4)
.
In a similar way, any coordinate point on the x axis has zero as its value for y. Therefore, to find the x intercept, go to the equation and set y equal to zero. When you do that the equation is:
.
2x - (4*0) = 16
.
And this reduces to:
.
2x = 16
.
Solve for x by dividing both sides by 2 and you have:
.
x = 16/2 = 8
.
So the x intercept is the coordinate point (8, 0)
.
Hope this helps you to understand graphing and intercepts a little better.

RELATED QUESTIONS

Find the coordinates of the y-intercept and x-intercept, in that order. 4y-7=3x (answered by rfer)
Find the slope and the y-intercept of the following linear equation. x = 4y –... (answered by Boreal,MathTherapy)
Please help me solve this equation: Find the y-intercept and x-intercept for the... (answered by Fombitz)
Please show work: Find the ​x-intercept and ​y-intercept for the equation. (answered by Fombitz)
find the y intercept and the x intercept for the equation... (answered by richwmiller)
find the y-intercept and the x-intercept for the equation. -2x+y=3 (answered by Tatiana_Stebko)
Graph Equation and identify the y intercept. x+4y+16 (answered by Alan3354)
Find the x-intercept and y-intercept for the following equation of a line. Write them in... (answered by checkley77)
Find the y-intercept and the x-intercept for the equation 2x+3y=12 (answered by Greenfinch)