Question

find the slope of each line. 1) 3) 5)

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: For problem 3

Let's assume the two - points on the line are \((x_1,y_1)=(0, - 2)\) and \((x_2,y_2)=(1,0)\). Then \(m=\frac{0-( - 2)}{1 - 0}=\frac{2}{1}=2\).

Step3: For problem 5

Let the two points on the line be \((x_1,y_1)=(0,0)\) and \((x_2,y_2)=(2,-2)\). Then \(m=\frac{-2 - 0}{2 - 0}=\frac{-2}{2}=-1\).

Answer:

1. The slope is 2.
2. The slope is - 1.