Question

If (-6,-38) and (5,28) are two anchor points on the trend line, then find the equation of the line

Answer 1

The equation of the line is y = 6x - 2 .

Explanation:

Formula for the equation of line is.

`(y - y_(1)) = m (x - x_(1))`

Where m is the slope.

`m = (y_(2) - y_(1))/(x_(2) - x_(1))`

As given

If (-6,-38) and (5,28) are two anchor points on the trend line.

Than

`m = (28 - (-38))/(5 - (-6))`

`m = (28 + 38)/(5 + 6)`

`m = (66)/(11)`

m = 6

Put the value in the equation of a line.

`(y - (-38)) = 6 (x - (-6))`

`(y + 38) = 6 (x + 6)`

`(y + 38) = 6x + 6* 6`

`(y + 38) = 6x + 36`

y = 6x +36 - 38

y = 6x - 2

Therefore the equation of the line is y = 6x - 2 .