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3 years ago

6(a)If the gradient of the straight line

Mathematics

1 answer:

tensa zangetsu [6.8K]3 years ago

5 0

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

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