Answer:
k = -4
Step-by-step 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.
An easy way to find this is to look at the cross section, and see where the lines meet
