Question

The equation Ax - 4y + 2 = 0 represents a linear relation.

Determine the value of A if the point (6,5) belongs to the relation.

Answer 1

The value of A is 3.

Explanation:

In order to determine the value of A if the point (6,5) belongs to that linear relation, we need to apply the coordinates for that point on the equation and solve it for A. This is shown below:

A*x - 4*y + 2 = 0

A*(6) - 4*(5) + 2 = 0

6*A -20 + 2 = 0

6*A - 18 = 0

6*A = 18

A = 18 / 6

A = 3

The value of A is 3.