Question

The point (-6, y) lies on the graph of the equation: 5y=2x−4.

What is the value of y?

Question 1 options:
A) 5/16
B)−16/5
C) −5/16
D)16/5

Answer 1

The value of y is -
`(16)/(5)` ⇒ answer B

Explanation:

- If a point lies on the graph of an equation, then it must to satisfy the

equation

- That means when you substitute the coordinates of the point in the

equation the left hand side will equal the right hand side

- The point (-6 , y) lies on the graph of the equation 5 y = 2 x - 4

- We need to find the value of y-coordinate of the point

- To do that substitute the value of x-coordinate of the point in the

equation

∵ 5 y = 2 x - 4

∵ x = - 6

∴ 5 y = 2(-6) - 4

- Multiply 2 by - 6

∴ 5 y = - 12 - 4

- Add like terms in the right hand side

∴ 5y = - 16

Divide both sides by 5

∴ y = -
`(16)/(5)`

The value of y is -
`(16)/(5)`