Question

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

A) y = –2∕5x – 5

B) y = –5∕2x – 5

C) y = 5∕2x – 5

D) y = 2∕5x – 5

Answer 1

Answer: C

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=(y_2-y_1)/(x_2-x_1)`. We'll use the first two points.

`m=(0-(-5))/(2-0) =(5)/(2)`

Now, we know the slope is
`(5)/(2)`.

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