Question

1. plot the points (0, -2) and (1, 4), and find slope.

1. plot the points (-4, 6) and (5,3) and find the slope.

1. plot the points (2, -1) and (7, -1) and find the slope.

1. plot the points (-5, 3) and (-4, 9) and find the slope.

1. plot the points (6, 4) and (3, 2) and find the slope.

1. plot the points (03, 4) and (3, -4) and find the slope.

1. plot the point (-2, 3) and (2, 2) and find the slope.

1. plot the point (0, 2) and (-1, -1) and find the slope

Explanation:

Problem 9

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Here, \((x_1, y_1)=(0, - 2)\) and \((x_2, y_2)=(1, 4)\).

Step2: Substitute values into formula

\( m=\frac{4-(-2)}{1 - 0}=\frac{4 + 2}{1}=\frac{6}{1}=6 \)

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Here, \((x_1, y_1)=(-4, 6)\) and \((x_2, y_2)=(5, 3)\).

Step2: Substitute values into formula

\( m=\frac{3 - 6}{5-(-4)}=\frac{-3}{5 + 4}=\frac{-3}{9}=-\frac{1}{3} \)

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Here, \((x_1, y_1)=(2, -1)\) and \((x_2, y_2)=(7, -1)\).

Step2: Substitute values into formula

\( m=\frac{-1-(-1)}{7 - 2}=\frac{-1 + 1}{5}=\frac{0}{5}=0 \)

Answer:

The slope is \( 6 \)

Problem 10