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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​

Respuesta :

Answer:

(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 = 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