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:

$8 + 2 \stackrel{?}{=} \dfrac{6}{5} (6 + 1)$

$10 \neq \dfrac{42}{5}$

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

Equation 2:

$(8 - 2) \stackrel{?}{=} \dfrac{6}{5} (6 - 1)$

$6 = 6 \,\,\checkmark$

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

Equation 3:

$8 + 1 \stackrel{?}{=} \dfrac{6}{5} (6 + 2)$

$9 \neq \dfrac{48}{5}$

The third choice is not the equation of our line.

Equation 4:

$8 - 1 \stackrel{?}{=} \dfrac{6}{5} (6 - 2)$

$7 \neq \dfrac{24}{5}$

The fourth option is not the equation of our line.

The second choice is the equation of the line.