Question

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

Answer 1

Answer:

The value of y is - $\frac{16}{5}$  ⇒ answer B

Step-by-step 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 = - $\frac{16}{5}$

The value of y is - $\frac{16}{5}$