Question

On the Set of axes below graph the line whose equation is 2y=-3x-2

The linear equation contains point (2,k).State the value of k.

Answer 1

k = -4

Explanation:

The given equation is: 2y = - 3x - 2.

This is written as: 3x + 2y + 2 = 0.

Given the point (2, k) lies on the line given.

That means it should satisfy the given equation.

So, to find the value of 'k', simply substitute the point on the line.

So, it becomes: 3(2) + 2(k) + 2 = 0

⇒ 6 + 2k + 2 = 0

⇒ 2k = - 8

Dividing by 2 throughout, we get: k = - 4

Hence, (2, -4) lies on the line.