Answer: k = 1/4
Step-by-step explanation:
The equation given is x - ky = 2
Make y the subject of the formula , we have
x - 2 = ky
that is
ky = x - 2
divide through by k
y = [tex]\frac{x}{k}[/tex] - [tex]\frac{2}{k}[/tex]
The equation of a line is given as y = mx + c , where m is the slope and c is the y - intercept. Comparing this with the resulting equation , it means
[tex]\frac{1}{k}[/tex] is the slope
Equating this to the value of slope given , we have
[tex]\frac{1}{k}[/tex] = 4 , therefore
k = [tex]\frac{1}{4}[/tex]
