SOLUTION: A line passing through the distinct points (2a+4,3a^2) and (3a+4,5a^2) has slope a+3. Find the value of a.

Algebra ->  Points-lines-and-rays -> SOLUTION: A line passing through the distinct points (2a+4,3a^2) and (3a+4,5a^2) has slope a+3. Find the value of a.      Log On


   

Question 1015745: A line passing through the distinct points (2a+4,3a^2) and (3a+4,5a^2) has slope a+3. Find the value of a.
Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
m=%28y2-y1%29%2F%28x2-x1%29

a%2B3=%28%285a%5E2%29-%283a%5E2%29%29%2F%28%283a%2B4%29-%282a%2B4%29%29

a%2B3=%28%282a%5E2%29%29%2F%28%28a%29%29

cross multiply

a%5E2%2B3a=%28%282a%5E2%29%29

3a=%28%28a%5E2%29%29

a=3