Question

complete the equation describing how x and y are related.

x	y
-	-
0	-1
1	3
2	7
3	11
4	15
5	19

y = ?x +
enter the number that belongs in the green box.

Explanation:

Step1: Find the slope

The slope $m$ of a linear - equation $y = mx + b$ can be found using the formula $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points, say $(x_1,y_1)=(0, - 1)$ and $(x_2,y_2)=(1,3)$. Then $m=\frac{3-(-1)}{1 - 0}=\frac{3 + 1}{1}=4$.

Step2: Check with other points

We can also check with other points. For example, if we take $(x_1,y_1)=(1,3)$ and $(x_2,y_2)=(2,7)$, then $m=\frac{7 - 3}{2 - 1}=\frac{4}{1}=4$.

Answer:

4