Question

What is the y–intercept of the graph of 3x + 4y = 12 ?

Answer 1

y-intercept is when x = 0

3 (0) + 4y = 12

4y = 12

y = 3

y-intercept is (0, 3)

Answer 2

The equation has the form Ax +By = C
In this equation, A=3, B=4 and C=12

We need to put it in the form y+Dx=E.
To do this we need to divide through by the coeffecient of y (4 in this case)

This would give us

y + 0.75x = 3

The constant term is the y intercept

So the y intercept of this line is 3 (this occurs when x=0)

Answer 3

Or you can do it the way moneybird did. It's easier.