the table represents a linear function. what is the slope of the function?\n| x | y |\n| -2 | -2 |\n| -1 | 1…

the table represents a linear function. what is the slope of the function?\n| x | y |\n| -2 | -2 |\n| -1 | 1 |\n| 0 | 4 |\n| 1 | 7 |\n| 2 | 10 |\n-3\n-2\n3\n4

the table represents a linear function. what is the slope of the function?\n| x | y |\n| -2 | -2 |\n| -1 | 1 |\n| 0 | 4 |\n| 1 | 7 |\n| 2 | 10 |\n-3\n-2\n3\n4

Answer

Explanation:

Step1: Recall slope - formula

The slope formula for a line given two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Select two points

Let's take $(x_1,y_1)=(0,4)$ and $(x_2,y_2)=(1,7)$.

Step3: Substitute into formula

$m=\frac{7 - 4}{1 - 0}=\frac{3}{1}=3$.

Answer:

3