Question

HELP: Find the equation of the linear function represented by the table below in slope-intercept form. (image included)

Answer 1

Given:

The table of value of a linear function.

To find:

The linear function in slope intercept form.

Solution:

Slope intercept form:

`y=mx+b`

Where, m is slope and b is y-intercept.

Consider any two points from the given table.

It is clear that the linear function passes through the points (1,0) and (2,5). So, the equation of the linear function is

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

`y-0=(5-0)/(2-1)(x-1)`

`y=(5)/(1)(x-1)`

`y=5(x-1)`

Using distributive property, we get

`y=5(x)+5(-1)`

`y=5x-5`

Therefore, the slope intercept form of the given linear function is
`y=5x-5`.