First, write it out.
3x+4y=16
Now, I was taught to find the y intercept by using slope intercept form, so pardon me if I am donig it differently than the way you are used to :p
You want to get the y on one side, alone, so subtract the x.
3x+4y=16
-3x ......-3x
4y=-3x+16
Now, you want the y to have no coefficient, therefore you divide EVERYTHING by 4.
4y=-3x+16
/4 ..../4 ....../4
y=-3/4x+4
Your y intercept is the lone number, hence "4".
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3X - 2Y = - 16 - 2Y = - 3X - 16 Y = (3/2)X + 8 ==============slope intercept form
2
3x + y = 5 y = -3x + 5 slope is -3 and y intercept is 5.
the slope is -3 and the y-intercept is (0,4)
If: -3x+2y = 12 Then: y = 1.5x+6 in slope-intercept form