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.Com
Question 1133393: 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)
Found 2 solutions by MathLover1, rothauserc:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
a. (,) and (, )
b. (, ) and (, ()
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
slope = rise/run = (y2 -y1)/(x2 -X1) where (x1,y1) and (x2,y2) are two points
:
a) slope = (x^2+3x-1 -3)/(x-1) = ((x+4)*(x-1))/(x-1) = x+4
:
b) slope = ((x+h)^2+3(x+h)-1 -(x^2+3x-1))/(x+h-x) = (x^2+2xh+h^2+3x+3h-1-x^2-3x+1)/h = (h^2+3h+2xh)/h = h+2x+3
:
Note assume h is not equal to 0
:
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