What is the y-intercept for this linear equation?

Question

1/2x - 2/3y = -6

Answer 1

1/2x - 2/3y = -6

6(1/2x) - 6(2/3y) = 6(-6)

6/2x - 12/3y = - 36

3x - 4y = - 36

3(0) - 4y = - 36

0 - 4y = - 36

- 4y/-4 = - 36/-4

y = 9

The y intercept is 9 when x = 0

- - - - - -s-

Answer 2

Y=9

Answer 3

If you want to solve for y, first you have to isolate it. Do this by adding -1/2x to each side (or, you could think of it as subtracting 1/2x from each side) of the equation.

-2/3y = - 6 -1/2x

Divide both sides by -2/3, which is the same as multiplying by -3/2. To do this, multiply each term by -3/2. (Note: watch the sign changes here.)

y = -3/2(-6 - 1/2x) = (-3/2 * -6) - ((-3/2) * 1/2x )
= 18/2 - (-3/4x) = 9 + 3/4x

Simplifying this result by externalizing the common factor 3, we have:

y = 3 (3 + 1/4x)

You find your y intercept by plugging in a value for x and seeing what the resulting number is. The y intercept when x = 0 is:

y = 3( 3 + 1/4 * 0) = 3 (3 + 0) = 9.

By solving y for successive values of x, you can plot a graph of (x,y) coordinate pairs. Try it yourself on graph paper for positive and negative values of x.

Answer 4

you have to transform th equation in terms of y:
1/2x+6=2/3y
then you multiply both sides of the equation by 3/2 therfore:
3/4x+9=y
the y intercept occus when x=0 therefore you put x=0 in the equation and get 3/4(0)+9=y
3/4 time 0 os equal to zero therforew the y intercept is y=9

Answer 5

isolate "Y" ... in the form of Y = mX + b .... b = intercept

1/2x -2/3Y = -6 (multiply all by 6 to remove denominators)
3x - 4y = -36 isolate y
3x + 36 = 4y divide by 4
3/4 x + 9 = Y intercept = 9

Answer 6

you transform your equation in form y=mx+b
the y-intercept will be your b

1/2x + 6 = 2/3y

multiply by 3/2
3/4x - 9 = y

then your y-intercept is 9
Please best answer

Answer 7

Start by multiplying every term by the common denominator of 6 to get rid of the fractions.

3x - 4y = -36 Now solve for y.
-4y = 3x - 36
y = -3/4 x + 9

Your equation is now in slope intercept form, y = mx + b, where m is the slope and b is the y intercept. So the y intercept is (0,9).

Answer 8

A line's intercept is where the line crosses the x or y axis
and since you ask for the y incept it where the line crosses the y axis .
Lets look at the equation Do ypou see where it says 2/3y ? this is where the line crosses the y axis so this is the y intercept ?

Answer 9

.... u get d following equations..
y/2-2x/3=-6xy
3y-4x=-36xy
4x-36xy-3y=0
to get the y intercept x=0
hence the y intercept is zero....

Answer 10

1/2*x-2/3*y=-6
divide the eqn by -6
x/-12+y/9=1
Now we have it in the form
x/a+y/b=1
y intercept=b=9