SOLUTION: a line has a slope of 9. one of the points on the line is (-2,p). Another point on the line is 2, 2p=1). Determine the value of p.

Algebra ->  Graphs -> SOLUTION: a line has a slope of 9. one of the points on the line is (-2,p). Another point on the line is 2, 2p=1). Determine the value of p.      Log On


   

Question 385085: a line has a slope of 9. one of the points on the line is (-2,p). Another point on the line is 2, 2p=1). Determine the value of p.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume the problem should be:
a line has a slope of 9. one of the points on the line is (-2,p). Another point on the line is 2, 2p+1). Determine the value of p.
:
The slope formula: m = %28y2-y2%29%2F%28x2-x1%29
:
Assign your given values as;
x1=-2; y1=p
x2= 2; y2=(2p+1)
m = 9
:
%28%282p%2B1%29-p%29%2F%282-%28-2%29%29 = 9
:
%282p%2B1-p%29%2F%282%2B2%29 = 9
:
%28p%2B1%29%2F4 = 9
Multiply both sides by 4
p + 1 = 4(9)
p = 36 - 1
P = 35
:
:
You can check this, substitute 35 for p in the slope equation, it should = 9