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Lesson Example Discussion Quiz: Class Homework

Lesson

Title: Slopes & Lines

Grade: 1300-a Lesson: S3-L4

Explanation: Hello Students, time to learn definitions. Let us take turns and read definitions and explain the pictures. Try to remember or memorize the definitions. Pay special attention to the pictures and communicate in your own words.

Lesson:

Definition: Slope of a Line

The slope of a line can be calculated using two points lying on a straight line.
Given the coordinates of the two points, we can apply the slope of the line formula.
Let the coordinates of those two points be, P1 = (x1, y1) P2 = (x2, y2).

$1$

Explanation: To find the slope of a line, use an equation. m = \$(y2 - y1)/(x2 - x1)\$ where m is the slope of the line.

Definition: Line Segment

A line segment has two definite endpoints in a line. The length of the line segment is fixed, which is the distance between two fixed points.

The length here can be measured by metric units such as centimeters (cm), millimeters (mm), or conventional units like feet or inches.

A line segment is usually represented by the bar symbol (—) on top of the end points.

$2$

Explanation: The line segment between (-2, 2) and (3, -3) is about \$\sqrt (50)\$ units long using the distance formula.

Hint:\$\sqrt ((x2 - x1)^2 + (y2 - y1)^2)\$