Question

Space provided.
1. Find the equation of the line that is modeled by the values in the table shown below.

Part I: Determine the slope of the line. Show the work you did to find the slope. (6 points)

Answer 1

Answer:

1) The slope of the line is $m=\frac{5}{2}$  or  $m=2.5$

2) The equation of the line is $y=2.5x-4$

Step-by-step explanation:

step 1

Find the slope

we know that

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

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

take any two points from the values in the table

(2,1) and (4,6)

substitute the values in the formula

$m=\frac{6-1}{4-2}$

$m=\frac{5}{2}$

$m=2.5$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=2.5$

$point\ (2,1)$

substitute

$y-1=2.5(x-2)$

Convert to slope intercept form

isolate the variable y

$y-1=2.5x-5$

$y=2.5x-5+1$

$y=2.5x-4$