SOLUTION: I need help with slope and y intercept form. Solve 3x+4y=8 for y then determine what is the slope and y intercept of this?

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Question 149824: I need help with slope and y intercept form.
Solve 3x+4y=8 for y then determine what is the slope and y intercept of this?

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
The goal is to manipulate the equation into the "slope-intercept" form:
y = mx + b
where
m is the slope
b is the y-intercept at (0, b)
.
Your problem:
3x+4y=8
first subtract 3x from both sides:
4y= -3x + 8
Now, divide both sides by 4:
y = (-3/4)x + 2
.
You now have:
slope is -3/4
and
y-intercept is (0,2)