(i) k =1
(ii) y-intercept is 7
Step-by-step explanation:
Given line:
ky = kx + x + 7
Divide all terms by k to get slope-intercept form of the line
y = (1 + 1/k)x + 7/k
Since the gradient (slope) of the line is 2:
1 + 1/k = 21/k = 1k = 1
The equation is now:
y = 2x + 7
y - intercept is found when x = 0
x = 0 ⇒ y = 2*0 + 7 y = 7