SOLUTION: Determine the slope and y intercept for the graph of 7x+4y=16

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Question 341705: Determine the slope and y intercept for the graph of 7x+4y=16
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

7x%2B4y=16 Start with the given equation.


4y=16-7x Subtract 7x from both sides.


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


y=%28-7x%2B16%29%2F%284%29 Divide both sides by 4 to isolate y.


y=%28%28-7%29%2F%284%29%29x%2B%2816%29%2F%284%29 Break up the fraction.


y=-%287%2F4%29x%2B4 Reduce.


So the equation y=-%287%2F4%29x%2B4 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


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