SOLUTION: Find the slope of the line through the points P and Q when: a. P(1,3) and Q(x, x2+3x-1) b. P(x, x2+3x-1) and Q(x+h, (x+h)2+3(x+h)-1)

Algebra ->  Test -> SOLUTION: Find the slope of the line through the points P and Q when: a. P(1,3) and Q(x, x2+3x-1) b. P(x, x2+3x-1) and Q(x+h, (x+h)2+3(x+h)-1)      Log On


   



Question 1133394: Find the slope of the line through the points P and Q when:
a. P(1,3) and Q(x, x2+3x-1)
b. P(x, x2+3x-1) and Q(x+h, (x+h)2+3(x+h)-1)

Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
For two points (x%5B0%5D,y%5B0%5D) and (x%5B1%5D,y%5B1%5D), the slope m is the rise over run: m = +%28y%5B1%5D-y%5B0%5D%29+%2F+%28x%5B1%5D-x%5B0%5D%29

Just plug in the values given:
(a) m = +%28%28x%5E2%2B3x-1%29-3%29+%2F+%28x-1%29+
and reduce...
I got +m+=+x%2B4+, with the restriction x+%3C%3E+1

Part (b) is done similarly