Question

enter the answer in the space provided. use numbers instead of words.
x | 4 | 10 | 16 | 20
y | 8 | 11 | 14 | 16
m = \boxed{}

Explanation:

Step1: Find the slope formula

The slope \( m \) between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Take two points, e.g., \((4,8)\) and \((10,11)\).

Step2: Calculate the slope

Substitute \( x_1 = 4,y_1 = 8,x_2 = 10,y_2 = 11 \) into the formula:
\( m=\frac{11 - 8}{10 - 4}=\frac{3}{6}=\frac{1}{2} \).
We can check with another pair, like \((10,11)\) and \((16,14)\):
\( m=\frac{14 - 11}{16 - 10}=\frac{3}{6}=\frac{1}{2} \).
Or \((16,14)\) and \((20,16)\):
\( m=\frac{16 - 14}{20 - 16}=\frac{2}{4}=\frac{1}{2} \).

Answer:

\( \frac{1}{2} \)