Question

Find the slope of the line passing through the points at (a, a+3) and (4a, a-5).

2) Together, two printers can print 7500 lines if the first printer prints for 2 minutes and the second prints for 1 minute. If the first printer prints for 1 minute and the second prints for 2 minutes, they can print 9000 lines together. Find the number of lines per minute that each printer prints.

Answer 1

1) Slope = (y2 -y1)/(x2 - x1) = -8/(3a)
The answer will depend upon a.

2. Lines printed = S1*t1 + S2*t2
S1 is the speed of printer 1 and t1 is the printing time of printer 1, etc.
7500 = 2 S1 + S2
9000 = S1 + 2 S2
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