For what value of k does the line represented by the equation 1-kx = -3y contain the point (4,-3)?

Thanks :D

WhichWitchIsWhich
Nov 10, 2017

#2**+1 **

1 - kx = -3y

If this line passes through the point (4, -3) , then we know that x = 4 and y = -3 are solutions to the equation. We know that this is true...

1 - k(4) = -3(-3) Now solve this for k .

1 - 4k = 9

-4k = 8

k = -2

hectictar
Nov 10, 2017

#3**+1 **

Substitute the point (4,-3) into the equation 1-kx = -3y

(Note: Why can we do this? Because when a point lies on a line, if you sub the x coordinate into all 'x's in the equation and y coordinate into all 'y's in the equation, then you will get left hand side equals right hand side.)

1 - 4k = -3(-3)

1 - 4k = 9

4k = 1 - 9 = -8

**k = -8/4 = -2**

MaxWong
Nov 12, 2017