Question

Given the table for the linear function k, find the equation for the function.

Write in slope intercept form please

Answer 1

Given:

Table for the linear function k.

To find:

The equation for the function.

Solution:

Take any two points from the table.

Let the points are (10, 18) and (30, 58).

Slope of the line:

Here,

m = 2

Using point-slope formula:

Add 18 on both sides.

Replace x by c and y by k.

The slope-intercept form of the equation of the function is k = 2c - 2.

Explanation:

Answer 2

Given:

Table for the linear function k.

To find:

The equation for the function.

Solution:

Take any two points from the table.

Let the points are (10, 18) and (30, 58).

Slope of the line:

`$m=(y_2-y_1)/(x_2-x_1)`

Here,
`x_1=10, y_1=18, x_2=30, y_2=58`

`$m=(58-18)/(30-10)`

`$m=(40)/(20)`

m = 2

Using point-slope formula:

`y-y_1=m(x-x_1)`

`y-18=2(x-10)`

`y-18=2x-20`

Add 18 on both sides.

`y-18+18=2x-20+18`

`y=2x-2`

Replace x by c and y by k.

`k=2c-2`

The slope-intercept form of the equation of the function is k = 2c - 2.