Find the x and y intercept of this equation 2x + 3y= 12?

Question

I DONT GET THIS PLEASE HELP thanks!

Answer 1

If you plug in a value of x = 0, then you will get the y-intercept. Similarly if you plug in a value of y = 0, you get the x-intercept.

Plug in x = 0
2(0) + 3y = 12
3y = 12
y = 4

So the y-intercept is 4

Now plug in y = 0
2x + 3(0) = 12
2x = 12
x = 6

So the x-intercept is 6

It's really not all that difficult once your realize it's just plugging in zero for x and y to get the other intercept.

(One thing to note is if you ever have an equation like y = 3, there is no way to plug in x. This tells you there is *no* x-intercept, and the y-intercept is simply 3. Similarly, if you had x = 2, then there is *no* y-intercept and the x-intercept is 2.)

Answer 2

Make it such that it in large condition y = mx + c equation the place the m is gradient and the c is y - intercept: 2x + 3y = 12 3y = 12 - 2x 3y = -2x + 12 y = (-2x + 12)/3 >>>> -2/3x + 12/3 y= -2/3x + 4 So y - intercept is 4

Answer 3

Finding the x- and y-intercepts isn't really all that difficult. Just remember this: the x-intercept is what x is equal to when y = 0 and vice versa.

To find the x-intercept, set y equal to zero.

2x + 3(0) = 12
2x = 12
x =6

6 is your x-intercept.

To find the y-intercept, do the same thing you did to find the x-intercept--make the other term equal to zero.

Set x equal to zero.

2(0) + 3y = 12
3y = 12
y = 4

4 is your y-intercept. I hope this helps you understand the concept a little bit better.

Answer 4

To get the y intercept:
2 x + 3 y = 12

Set x = 0
2(0) + 3 y = 12
3 y = 12
y = 4

To get the x intercept
Set y = 0
2 x + 3 (0) = 12
2x = 12
x = 6

So, the y intercept is at (0,4) and the x intercept is at (6,0)

Answer 5

set x = 0 and solve for y. This will give you the y intercept.

Then, set y=0 and solve for the x intercept.

2*0+3 y = 12

y = 4

2x+3 * 0 = 12

x = 6

Answer 6

The x intercept happens when y is zero. That is, the function "intercepts" the x axis.
So, set y to zero and solve:
2x = 12, x = 6

The y intercept happens when x is zero:
3y = 12, so y = 4

Answer 7

1. Find the y-intercept >

First: replace "0" with the "x" variable:

2(0) + 3y = 12
0 + 3y = 12
3y = 12

Sec: solve for "y" by keeping it on one side > divide both sides by 3:

3y/3 = 12/3
y = 4

2. Find the x-intercept:

First: replace "0" with the "y" variable:

2x + 3(0) = 12
2x + 0 = 12
2x = 12

Sec: solve for "x" by keeping it on one side > divide both sides by 2:

2x/2 = 12/2
x = 6

y - int = 4
x - int = 6

Answer 8

2x + 3y = 12
Divide both sides by 12
x/6 + y/4 = 1 (generalized form x/a + y/b = 1)

X-intercept = 6
Y-intercept = 4

Answer 9

2x + 3y= 12 to find the y-intercept, set x=0
3y=12 divide by 3
y=4
to find the x-intercept, set y=0
2x=12 divide by 2
x=6

y-intercept=4
x-intercept=6

Answer 10

2x + 3y = 12
so x = -3/2y + 6 and y = -2/3x + 4
so 6 is the x-intercept and 4 is the y-intercept