Question

Choose the Algebraic equation that matches the table

A) y = x - 3

B) y = x + 2

C) y = x - 2

D) y = -x - 2

Answer 1

C

Explanation:

In order to write the equation, you need to identify the slope and y-intercept.

1) the y intercept is what y is when x=0. According to the table, it is -2.

2) the slope is the change in the y values over the change in the x values. Notice that the y values are increasing by one for every increase in 1 in the x values, so the slope is 1/1 or 1.

3) we can then put those values into slope-intercept form which is y=mx+b where m is the slope and b is the intercept.

4) so the equation is y=(1)x-2 or y=x-2 (they are the same)