Type the question that shows the pattern among this set of ordered pairs. (0,3) (1,5) (2,7) (3,9)

Question

Type the equation that shows the pattern among this set of ordered pairs

Answer 1

Let's look at the rise over run in order to see our slope:

(y₂ - y₁) / (x₂ - x₁)

 

And we'll start off using the first two sets:

(5 - 3) / (1 - 0)

2 / 1 = 2

 

Now to see if it remains a straight line, let's look at another pair, this time the first and last:

(9 - 3) / (3 - 0)

6 / 3 = 2

So our slope remains and thus is 2, telling us that this pattern is a straight line:

y = mx + b

So our line so far looks like:

y = 2x + b

 

To find b, we need the y-intercept and so need x = 0. We're actually given that as one of our ordered pairs: (0, 3). the y-value there = 3, so that gives us our b, leaving us with the line:

y = 2x + 3