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avatar+1679 

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.

 Jan 16, 2024
 #1
avatar+129243 
+1

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

 

Using (4, -7)

 

y = - (3/4) ( x -4)  - 7                    multiply through by 4

 

4y  = -3 ( x -4) - 28

 

4y  =  -3x + 12   - 28

 

3x + 4y  =   - 16

 

 

cool cool cool

 Jan 16, 2024

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