SOLUTION: a line passes through the points (a+1,2) and (-2a, a+4). if the slope of the line is -4/7, what is the equation of the line?

Algebra ->  Linear-equations -> SOLUTION: a line passes through the points (a+1,2) and (-2a, a+4). if the slope of the line is -4/7, what is the equation of the line?      Log On


   

Question 1065469: a line passes through the points (a+1,2) and (-2a, a+4). if the slope of the line is -4/7, what is the equation of the line?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
%28a%2B4-2%29%2F%28-2a-%28a%2B1%29%29=-4%2F7

%28a%2B2%29%2F%283a%2B1%29=4%2F7

12a%2B4=7a%2B14

highlight_green%28a=2%29

Using this value, one of the points is (3,2).
Using point-slope equation form, highlight%28y-2=-%284%2F7%29%28x-3%29%29.