Question

If (-2,11)and(9,22) are two anchor points on the trend line, then find the equation of the line​

Answer 1

The equation of the line is
`y=x+13`

Explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

we have

(-2,11) and (9,22)

substitute

`m=(22-11)/(9+2)`

`m=(11)/(11)`

`m=1`

step 2

Find the equation in slope intercept form

`y=mx+b`

where

m is the slope

b is the y-intercept

we have

`m=1`

`point\ (-2,11)`

substitute in the equation and solve for b

`11=(1)(-2)+b`

`11=-2+b`

Adds 2 both sides

`b=11+2\\b=13`

The equation of the line is

`y=x+13`