Question

1 point

2). The ordered pairs all lie on the same line. Using the ordered pairs, write
an equation of the line in the form y = mx + b.*
(0, 3) (2, 7) (-1, 1) (5, 13)

Answer 1

y = 2x + 3

Explanation:

First things first we have to find the slope. To do so you simply choose two of the ordered pairs and use the formula:

y2 - y1 / x2 - x1

I will use (0, 3) and (2, 7).

7 - 3 / 2 - 0

4 / 2

2

let’s double check by using the other set of ordered pairs.

(-1, 1) and (5,13)

13-1 / 5 + 1

12 / 6

2

Our slope is 2!

Next we will use the point-slope formula:

y - y1 = m (x - x1)

we will do this with one of the ordered pairs, since they all lie on the same line the answer will be the same each time.

I will use (2, 7).

y - 7 = 2(x - 2)

distribute:

y - 7 = 2x - 4

add 7 to both sides:

y = 2x + 3

Just to be sure that i didn’t make any mistakes i will double check by using another ordered pair.

I will use (-1, 1)

y - 1 = 2 (x + 1)

distribute:

y - 1 = 2x + 2

add 1 to both sides

y =2x + 3

There we have it! The answer is:

y = 2x+ 3