SaiBook.us Algebra

Example

Title: Find the slope of the line passes through the points

Grade: 9-a Lesson: S2-L4

Explanation: The best way to understand algebra is by looking at some examples. Take turns and read each example for easy understanding.

Examples:

1. Find the slope of the line passes through the points \$(2,3)\$ and \$(4,5)\$.

Step 1a

Given points.

Explanation: Given polynomial is \$(2,3)\$ and \$(4,5)\$.

Let \$A(2,3) and B(4,5)\$.

Step 1b

Slope of a line passes through two points.

Explanation: Slope of a line passes through two points \$A(x_1,y_1) and B(x_2,y_2)\$ is m = \$ (y_2 - y_1)/(x_2 - x_1)\$.

Here \$x_1 = 2, y_1 = 3, x_2 = 4\$ and \$ y_2 = 5\$.

Step 1c

Substitute the points in the slope formula.

Explanation:

m = \$ (y_2 - y_1)/(x_2 - x_1)\$

\$=> (5 - 3)/(4 - 2)\$

\$=> 2/2\$

\$=> cancel2^1/cancel2^1\$

\$=> 1/1\$

\$=> 1\$

Slope of a line passes throuh point (2,3) and (4,5) is \$1\$.