Question

Write a linear equation that contains the ordered pair shown in the table below:

Answer 1

Answer:

$y=2x-4$          

Step-by-step explanation:

step 1

Find the slope

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

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

take two points from the data in the table

(-5,-14) and (1,-2)

substitute the values

$m=\frac{-2+14}{1+5}$

$m=\frac{12}{6}$

$m=2$

step 2

Find the equation in point slope form

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

we have

$m=2$

$point\ (1,-2)$

substitute

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

step 3

Convert to slope intercept form

Isolate the variable y  

$y+2=2x-2\\y=2x-2-2\\y=2x-4$

see the attached figure to better understand the problem