the table represents a linear function. what is the slope of the function?\n| x | y |\n| -2 | 8 |\n| -1 | 2…

the table represents a linear function. what is the slope of the function?\n| x | y |\n| -2 | 8 |\n| -1 | 2 |\n| 0 | -4 |\n| 1 | -10 |\n| 2 | -16 |\n-6\n-4\n4\n6

the table represents a linear function. what is the slope of the function?\n| x | y |\n| -2 | 8 |\n| -1 | 2 |\n| 0 | -4 |\n| 1 | -10 |\n| 2 | -16 |\n-6\n-4\n4\n6

Answer

Explanation:

Step1: Select two points

Let's take $(-2,8)$ and $(-1,2)$.

Step2: Use slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1=-2,y_1 = 8,x_2=-1,y_2 = 2$. Then $m=\frac{2 - 8}{-1-(-2)}$.

Step3: Calculate the slope

First, simplify the numerator and denominator. $2 - 8=-6$ and $-1-(-2)=-1 + 2=1$. So $m=\frac{-6}{1}=-6$.

Answer:

-6