the table represents a linear function. what is the slope of the function?\n| x | y |\n| -4 | -16 |\n| -2 |…
the table represents a linear function. what is the slope of the function?\n| x | y |\n| -4 | -16 |\n| -2 | -6 |\n| 0 | 4 |\n| 2 | 14 |\n| 4 | 24 |\n-10\n-5\n5\n10
Answer
Explanation:
Step1: Select two points
Let's take $(x_1,y_1)=(0,4)$ and $(x_2,y_2)=(2,14)$.
Step2: Apply slope - formula
The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute the values: $m=\frac{14 - 4}{2-0}$.
Step3: Calculate the slope
$\frac{14 - 4}{2-0}=\frac{10}{2}=5$.
Answer:
5