Question

fill in the missing number to complete the linear equation that gives the rule for this table.

x	y
1	-31
2	-62
3	-93

$y = \square x$

Explanation:

Step1: Identify linear form

The equation is $y = mx$, where $m$ is the slope.

Step2: Calculate slope $m$

Use $x=1, y=-31$: $m = \frac{y}{x} = \frac{-31}{1} = -31$

Step3: Verify with other points

For $x=2$: $y = -31 \times 2 = -62$, matches the table.
For $x=3$: $y = -31 \times 3 = -93$, matches the table.
For $x=0$: $y = -31 \times 0 = 0$, matches the table.

Answer:

$y = -31x$