Question

Match the graph with the correct equation.

Answer 1

To solve this problem, let's try to find a point on the line. It appears that (6, 8) is a coordinate on the line. We can substitute this x-value of 6 into the functions and question whether it equals the y-value of 8.

Equation 1:

`8 + 2 \stackrel{?}{=} (6)/(5) (6 + 1)`

`10 \\eq (42)/(5)`

The first option choice is not the equation of our line.

Equation 2:

`(8 - 2) \stackrel{?}{=} (6)/(5) (6 - 1)`

`6 = 6 \,\,\checkmark`

The second choice is the equation of our line. For more verification, we will check the other equations as well.

Equation 3:

`8 + 1 \stackrel{?}{=} (6)/(5) (6 + 2)`

`9 \\eq (48)/(5)`

The third choice is not the equation of our line.

Equation 4:

`8 - 1 \stackrel{?}{=} (6)/(5) (6 - 2)`

`7 \\eq (24)/(5)`

The fourth option is not the equation of our line.

The second choice is the equation of the line.