Question

Which of the following data tables shows a linear relationship?

Answer 1

Solution

For this case we need to check if we satisfy the following:

y= kx

For the first table we have:

$m=\frac{1+5}{1+2}=\frac{7-1}{3-1}\ne\frac{15-7}{7-3}$

For the second case:

$m=\frac{-1+13}{-1+6}\ne\frac{5+1}{3+1}$

For the third case:

$m=\frac{-5+9}{-2+4}=\frac{7+5}{4+2}=\frac{23-7}{12-4}=2$

For the fourth case

$m=\frac{-4+2}{0+3}\ne\frac{14+4}{5-0}$

then the correct solution would be

Third option