Question

1. find the slope from following table:

x	y
-8	2
-4	5
4	11
16	20

m=

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Choose two points

Let's take the first two points \((-8, 2)\) and \((-4, 5)\). Here, \( x_1=-8 \), \( y_1 = 2 \), \( x_2=-4 \), \( y_2 = 5 \).

Step3: Calculate slope

Substitute into the formula: \( m=\frac{5 - 2}{-4 - (-8)}=\frac{3}{4} \).
We can verify with another pair, say \((-4, 5)\) and \((4, 11)\): \( m=\frac{11 - 5}{4 - (-4)}=\frac{6}{8}=\frac{3}{4} \). Another pair \((4, 11)\) and \((16, 20)\): \( m=\frac{20 - 11}{16 - 4}=\frac{9}{12}=\frac{3}{4} \).

Answer:

\(\frac{3}{4}\)