Question

6(a)If the gradient of the straight line

ky = kx + x + 7 is 2,
find: (i) the value of k,
(ii) the y-intercept.
Vine​

Answer 1

(i) k =1

(ii) y-intercept is 7

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 = 2
• 1/k = 1
• k = 1

The equation is now:

• y = 2x + 7

y - intercept is found when x = 0

• x = 0 ⇒
• y = 2*0 + 7
• y = 7