SOLUTION: Can you please show me how to solve this: Using the given information, write the equation(ax+by+c=0)of the line then graph the line. Passes through the points (-3,4)and(6,1)

Algebra ->  Graphs -> SOLUTION: Can you please show me how to solve this: Using the given information, write the equation(ax+by+c=0)of the line then graph the line. Passes through the points (-3,4)and(6,1)       Log On


   

Question 94293: Can you please show me how to solve this: Using the given information, write the equation(ax+by+c=0)of the line then graph the line.
Passes through the points (-3,4)and(6,1)
I tried to solve it with the equation%28y-y1%29%2F%28y2-y1%29=%28x-x1%29%2F%28x2-x1%29I plugged in the numbers and tried to solve but I got the equation %28-1%2F6%29x-y+%2B%285%2F2%29and that didnt go through the points so could you help me and see if im on the right track
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
1st find the slope (m) of the line.
m=%28y-y%5B1%5D%29%2F%28x-x%5B1%5D%29=%284-1%29%2F%28-3-6%29=3%2F-9=-1%2F3
Now we rearange the slope formula to give us the point-slope form of the equation of a line.
m%28x-x%5B1%5D%29=y-y%5B1%5D
Now we plug either of the sets of points into the above.
%28-1%2F3%29%28x-%28-3%29%29=y-4
%28-1%2F3%29%28x%2B3%29=y-4
%28-x%2F3%29-1=y-4
Add 4 to each side. %28-x%2F3%29%2B3=y
Ed Jones
graph%28500%2C375%2C-10%2C10%2C-5%2C10%2C%28-x%2F3%29%2B3%29