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…
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: Recall slope formula
The slope formula for 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 $(x_2,y_2)=(2,14)$.
Step3: Calculate the slope
$m=\frac{14 - 4}{2-0}=\frac{10}{2}=5$.
Answer:
5