Question

Give that the line y=4x-14 passes through the point (k,k+1), find the value of k.​

Answer 1

Answer:

k = 5

Step-by-step explanation:

The given line is y = 4x - 14.

The given point is (k, k + 1).

For this point, x = k and y = k + 1.

You substitute these equations into the line's equation to find the value of k.

(x = k)

(y = k + 1)

y = 4x - 14

(k + 1) = 4(k) - 14

Solve for k.

k + 1 = 4k - 14

Subtract k from both sides.

1 = 3k - 14

Add 14 to both sides.

15 = 3k

Divide both sides by 3.

15/3 = k

Simplify.

5 = k

And that's the answer!

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