Question

Use the 2 highlighted points to find the equation of a trend line in slope intercept form

Answer 1

use rise over run to find the answer

Answer 2

The slope intercept form of trend line is y=200x-399000.

Explanation:

The slope intercept form of a line is

`y=mx+b`

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

The coordinates of highlighted points are (2000,1000) and (2012,3400).

If a line passes through two points then the slope of the line is

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

The slope of the trend line is

`m=(3400-1000)/(2012-2000)`

`m=(2400)/(12)=200`

The slope of the line is 200.

Point slope form of a line is

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

The slope of the trend line is 200 and it passes through (2000,1000). So, the equation of trend line is

`y-1000=200(x-2000)`

`y-1000=200x-400000`

Add 1000 on both the sides.

`y-1000+1000=200x-400000+1000`

`y=200x-399000`

The slope of the line is 200 and y-intercept is -399000.

Therefore the slope intercept form of trend line is y=200x-399000.