SOLUTION: Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By=C. (-4,5), (-5,-9)

Question 881268: Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By=C. (-4,5), (-5,-9)
Found 2 solutions by lwsshak3, josgarithmetic:
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By=C. (-4,5), (-5,-9)
***
Form of equation for a line: y=mx+b, m=slope, b=y-intercept
slope=∆y/∆x=(-9-5)/(-5-(-4))=-14/-1=14
equation: y=14x+b
solve for b using coordinates of one given point (-4,5)
5=14*-4+b
b=61
equation: y=14x+61
or
14x-y=-61
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Slope of the equation in standard form is . You can find the constant C using this slope and either of the two given points.

Slope: .
This slope means you could choose , and . .

Choose either point, example, taking (-4,5), find C.

-
Putting the pieces together as the equation wanted,

OR
, same thing, just multiplied BOTH sides by negative 1.
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