Question

Translating between Tables,

Graphs, and Equations

Make a table of value and graph the equation
Y=3x-5

Answer 1

Table of values

`x \to y`

`0 \to -5`

`1 \to -2`

`2 \to 1`

`3 \to 4`

`4 \to 7`

`5 \to 10`

See attachment for graph

Explanation:

Given

`y = 3x - 5`

Solving (a): Make a table

Considering the values of x from 0 to 5, we have:

When
`x = 0`

`y = 3x - 5 \to 3 * 0 - 5 = -5`

When
`x = 1`

`y = 3x - 5 \to 3 * 1 - 5 = -2`

When
`x = 2`

`y = 3x - 5 \to 3 * 2 - 5 = 1`

When
`x = 3`

`y = 3x - 5 \to 3 * 9 - 5 = 4`

When
`x = 4`

`y = 3x - 5 \to 3 * 4 - 5 = 7`

When
`x = 5`

`y = 3x - 5 \to 3 * 5 - 5 = 10`

So, we have:

`x \to y`

`0 \to -5`

`1 \to -2`

`2 \to 1`

`3 \to 4`

`4 \to 7`

`5 \to 10`

Solving (b): The graph

See attachment