Question

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

Answer 1

Answer:

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

Step-by-step explanation:

step 1

Find the slope

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

$m=\frac{y2-y1}{x2-x1}$

we have

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

substitute

$m=\frac{22-11}{9+2}$

$m=\frac{11}{11}$

$m=1$

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

$y=x+13$