Question

Graph the line by plotting any two ordered pairs that satisfy the equation -5x= 3

Answer 1

Answer: (
`(-3)/(5)`, 1) and (
`(-3)/(5)`, 3) are two you could use, but there are countless possibilities.

Explanation:

To solve this question, we will first isolate the variable x.

-5x = 3

`\displaystyle (-5x)/(-5) =(3)/(-5)`

x =
`(-3)/(5)`

Next, we will find points that satisfy the equation. Any value in the y-coordinate will work as long as x =
`(-3)/(5)`. Some examples:

(
`(-3)/(5)`, 1)

(
`(-3)/(5)`, 6)

(
`(-3)/(5)`, -4)

(
`(-3)/(5)`,
`(1)/(2)`)

(
`(-3)/(5)`, 0)

Etcetera.

I have attached a graph with two of the examples to further show. This graph uses (
`(-3)/(5)`, 1) and (
`(-3)/(5)`, 6). Negative three-fifths is equal to -0.6.