Question

PLEASE HELP WORTH 40 POINTS FOR WHOEVER ANSWERS CORRECTLY!!!! PLEASE HELP

1. Refer to the equation 3x − 5y = 15.
(a) Create a table of values for at least 4 points. Show your work on how you found the values for each coordinate pair and validated the points were on the line.

Answer 1

x = 1 ⇔ y = -2.4

x = 2 ⇔ y = -1.8

x = 3 ⇔ y = -1.2

x = 4 ⇔ y = -0.6

Explanation:

`3x-5y=15`

→ Rearrange to make y the subject

`-5y=-3x+15`

→ Multiply everything by -1

`5y=3x-15`

→ Divide everything by 5

`y=0.6x-3`

⇒ Substitute x = 1, 2, 3 and 4

`y=0.6x-3\\ y=(0.6*1)-3\\ y=0.6-3\\ y=-2.4\\(1,-2.4)`

`y=0.6x-3\\ y=(0.6*2)-3\\ y=1.2-3\\ y=-1.8\\(2,-1.8)`

`y=0.6x-3\\ y=(0.6*3)-3\\ y=1.8-3\\ y=-1.2\\(3,-1.2)`

`y=0.6x-3\\ y=(0.6*4)-3\\ y=2.4-3\\ y=-0.6\\(4,-0.6)`