SOLUTION: what is the slope an the y intercept of -7x-4y=16

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Question 168848This question is from textbook
: what is the slope an the y intercept of -7x-4y=16 This question is from textbook

Found 2 solutions by Mathtut, jim_thompson5910:
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
write in slope intercept form y=mx+b where m is the slope and b is the y intercept.
-4y=7x+16--->divide all terms by -4
:
y=-7/4x-4
:
highlight%28slope=-7%2F4%29
highlight%28y-intercept=-4%29

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-7x-4y=16 Start with the given equation.


-4y=16%2B7x Add 7x to both sides.


-4y=7x%2B16 Rearrange the terms.


y=%287x%2B16%29%2F%28-4%29 Divide both sides by -4 to isolate y.


y=%28%287%29%2F%28-4%29%29x%2B%2816%29%2F%28-4%29 Break up the fraction.


y=-%287%2F4%29x-4 Reduce.


So the equation y=-%287%2F4%29x-4 is now in slope intercept form y=mx%2Bb where the slope is m=-7%2F4 and the y-intercept is b=-4 note: the y-intercept is the point