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

Answer:

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

Step-by-step 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

$m=\frac{y_2-y_1}{x_2-x_1}$

The slope of the trend line is

$m=\frac{3400-1000}{2012-2000}$

$m=\frac{2400}{12}=200$

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.