SOLUTION: Find value of x and y so that line through the points has the given slope: (x,0); (-3,6) ; slope: 6/5

Algebra ->  Linear-equations -> SOLUTION: Find value of x and y so that line through the points has the given slope: (x,0); (-3,6) ; slope: 6/5      Log On


   

Question 962533: Find value of x and y so that line through the points has the given slope: (x,0); (-3,6) ; slope: 6/5
Answer by hkwu(60) About Me  (Show Source):
You can put this solution on YOUR website!
The easiest way is to find the equation of the line first then find the y-coordinate of the point.
y=mx%2Bb
6=%286%2F5%29%2A-3%2Bb
6=-18%2F5%2Bb
b=48%2F5
so the line has equation
y=%286%2F5%29x%2B48%2F5
Substituting our given values, we get
0=%286%2F5%29x%2B48%2F5
-48%2F5=%286%2F5%29x
x=-8
The line will pass through (-8,0).