Question

Write a linear equation representing the information shown in the table.

Answer 1

Answer: C

Step-by-step explanation:

There are many ways to find the linear equation that matches the table, but let's do it so that we find the slope and y-intercept.

Based on the first entry (0,-5), we know that the y-intercept is -5.

To find slope, we take any two points and plug them into this $m=\frac{y_2-y_1}{x_2-x_1}$. We'll use the first two points.

$m=\frac{0-(-5)}{2-0} =\frac{5}{2}$

Now, we know the slope is $\frac{5}{2}$.

The only equation that has the same slope and y-intercept that we found is C.