SOLUTION: A line that includes the points (9, -7) and (8, j ) has a slope of 2. What is the value of j ? j=

Algebra ->  Linear-equations -> SOLUTION: A line that includes the points (9, -7) and (8, j ) has a slope of 2. What is the value of j ? j=       Log On


   

Question 1087877: A line that includes the points (9, -7) and (8, j ) has a slope of 2. What is the value of j ?
j=
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
The expression for the slope gives this equation

m = %28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29,   or  2 = %28j-%28-7%29%29%2F%288-9%29,


which is the same as 


%28j%2B7%29%2F%28-1%29 = 2,


which is equivalent to

j + 7 = -2. 


Hence, j = -2 - 7 = -9.


Answer.  j = -9.

Solved.