SOLUTION: Find an equation of the line passing through each pair of points (-6, 0) and (9, -8).Write the equation in the form Ax=By=C.

Algebra ->  Linear-equations -> SOLUTION: Find an equation of the line passing through each pair of points (-6, 0) and (9, -8).Write the equation in the form Ax=By=C.      Log On


   

Question 240459: Find an equation of the line passing through each pair of points (-6, 0) and (9, -8).Write the equation in the form Ax=By=C.
Found 2 solutions by solver91311, Alan3354:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Use the two-point form of the equation of a line:



where and are the coordinates of the given points.

Once you have plugged in the values you were given, do the arithmetic and rearrange the equation to put it into Standard Form, namely:



Some texts require that A, B, and C be integers to be in proper Standard Form.

John

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find an equation of the line passing through each pair of points (-6, 0) and (9, -8).Write the equation in the form Ax=By=C.
--------------
Find the slope, m
m = diffy/diffx = 8/-15
m = -8/15
---------
Use y = mx + b to find b. Use either point
0 = (-8/15)*(-6) + b
b = -16/5
-------
y = (-8/15)x - 16/5
8x + 15y = - 48