the table represents a linear function. what is the slope of the function? x y -2 8 -1 2 0 -4 1 -10 2 -16 -6…
the table represents a linear function. what is the slope of the function? x y -2 8 -1 2 0 -4 1 -10 2 -16 -6 -4 4 6
Answer
Explanation:
Step1: Select two points
Let's take $(-2,8)$ and $(-1,2)$.
Step2: Apply slope - formula
The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1=-2,y_1 = 8,x_2=-1,y_2 = 2$. So $m=\frac{2 - 8}{-1-(-2)}$.
Step3: Calculate the numerator and denominator
The numerator $2 - 8=-6$, and the denominator $-1-(-2)=-1 + 2=1$.
Step4: Find the slope
$m=\frac{-6}{1}=-6$.
Answer:
-6