Question

complete the equation describing how x and y are related.

x	y
-3	-5
-2	-3
-1	-1
0	1
1	3
2	5

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

Explanation:

Step1: Find the slope

The slope $m$ of a linear - equation $y = mx + b$ is given by 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 $m=\frac{3 - 1}{1 - 0}=\frac{2}{1}=2$.

Step2: Check with other points

We can check with another pair of points, for example, $(x_1,y_1)=(-1,-1)$ and $(x_2,y_2)=(0,1)$. Using the slope formula $m=\frac{1-(-1)}{0 - (-1)}=\frac{1 + 1}{0+1}=2$.

Answer:

2