Slope basically describes the steepness of a line Slope of a Line Slope basically describes the steepness of a line

If a line goes up from left to right, then the slope has to be positive Conversely, if a line goes down from left to right, then the slope has to be negative

Definitions of Slope Slope is simply the change in the vertical distance over the change in the horizontal distance

The formula above is the one which we will use to find the slope of specific lines In order to use that formula we need to know, or be able to find 2 points on the line

Find the slope of the line y = -2x + 1 Find two points on the line. If x = 0, then y = ? If x = 1, then y = ? Using the two points (0, 1) & (1, -1), insert into the slope formula

Examples

Examples

Using Coordinates If given two points on a line, insert into the formula directly.

Examples

Examples

Examples

A slope of means the line goes up 1, and to the right 3

Examples (-4, 3) (-10, 9) m = -1 (4, 2) (-5, -4) m = 2/3

Horizontal lines have a slope of zero while vertical lines have no slope (undefined) m = 0 Vertical Horizontal m = no slope

Examples (-3, 2) (1, 2) m = 0/-4= 0 Since the slope is 0, this is a horizontal line (-4, 3) (-4, -2) m = -5/0 Since you cannot divide by 0, this line has an “undefined” slope

Assignment 8.3A: 1 – 10, 21 – 30, 40