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A line passes through the points $P$ and $Q.$ If $P = (-8,2)$ and $Q = (4,-7),$ then write the equation of this line in the form $Ax + By = C,$ where $A$, $B$, and $C$ are integers with greatest common divisor $1,$ and $A$ is positive.

 May 14, 2024
 #1
avatar+129505 
+1

m = [ 2 - -7 ] / [ -8 - 4 ] =  9 / -12 =  -3/4

 

Equation

 

y = -(3/4)(x -4) - 7

 

y = -(3/4)x + 3 - 7

 

y = -(3/4)x - 4

 

4y = -3x - 16

 

3x  + 4y =  - 16

 

cool cool cool

 May 14, 2024

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