Answer:
The value of y is - [tex]\frac{16}{5}[/tex] ⇒ 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 = - [tex]\frac{16}{5}[/tex]
The value of y is - [tex]\frac{16}{5}[/tex]
