SOLUTION: Please help me solve this problem. Find the value of "a" if a line containing the point (a, -3a) has a y-intercept of 7 and a slope of -2/3

Algebra ->  Linear-equations -> SOLUTION: Please help me solve this problem. Find the value of "a" if a line containing the point (a, -3a) has a y-intercept of 7 and a slope of -2/3      Log On


   

Question 981963: Please help me solve this problem. Find the value of "a" if a line containing the point (a, -3a) has a y-intercept of 7 and a slope of -2/3
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Slope-intercept form equation, y=mx+b
y=-%282%2F3%29x%2B7

If you have a point as (a,-3a), then you have x=a and y=-3a, which you substitute into the equation.

-3a=-%282%2F3%29a%2B7
and now solve this for a.