How to find y intercept of these?

Question

y=-2X+3
y=-X+7
3y-2X=-12

Answer 1

y intercepts are, respectively:
3
7
-4

It is the b in the equation y=mx+b
For the third equation you need to put it into y=mx+b form, so:
3y-2x=-12
+2x +2x
3y=2x-12
/3 /3
y=2/3x-4
b=-4

Answer 2

Substitute 0 for X and solve the equation for y. As an example:

y = -2x + 3
y = -2(0) + 3
y = 3

Therefore, the y-intercept is 3. You should be able to do the second in the same way and get an answer of 7. The third is similarly done:

3y-2x = -12
3y-2(0) = -12
3y = -12
y = -4

Thus, the y-intercept is -4.

There is a shortcut to this. If the equation is in the form y = mx + b, then b is the y-intercept.

Answer 3

Just put the equation in y = mx + b format and read off b.

1) y = 2x + 3
slope (m) = 2
y-intercept (b) is 3

2) y = -x + 7
slope (m) = -1
y-intercept (b) is 7

3) 3y - 2x = -12
This takes some manipulation to solve for y, start by adding 2x to both sides:
3y = 2x - 12

Now divide both sides by 3:
y = (2/3)x - 4
slope (m) = 2/3
y-intercept (b) is -4

So the answers are:
3, 7 and -4 respectively

Answer 4

if theequation is in the form y=mx+b
then b is the 'y' intercept

1.3

2.7

3.3y-2x=-12
3y=2x-12
y=2/3x-12/3
=(2/3)x-4
y intercept is -4

Answer 5

the y intercept is the place where x = 0
the x intercept is the place where y = 0

solve the equations for x=0 or and y=0 to get them.

Answer 6

3
7
4

Answer 7

x=0

y=3,
y=7
3y=-12, y=-4