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If the graph of the line y = ax + b passes through the points (4,5) and (8,11)$, what is a - b?

 Jul 15, 2020
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a is the slope and b the y intercept. We solve for the slope first. Plugging the points into the slope formula, we find that a is 6/4=3/2. So now we have y=3/2x+b. Then we plug in either of the given points to solve for b. 

 

y=3/2x+b

5=3/2(4)+b

5=6+b

b=-1

 

Therefore the equation of the line is y=3/2x-1.

 Jul 15, 2020

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