In this first lecture of the new section Linear Functions and Their Graphs, our instructor will cover the concepts of slope as well as rate of change. You will learn the four possible slopes: positive slope, negative slope, zero slope, or undefined slope.The slope is defined as the ratio of the 'rise' divided by the 'run' between two points on a line, or in other words, the ratio of the altitude change to the horizontal distance between any two points on the line. The lesson finishes with four examples.
of a straight line is the ratio of the change in the y coordinates
to the change in the x coordinates of two particular points that lie
on the line. This is also known as a rate of change.
Slope is a
measurement of how steep the line is. The larger the absolute value
of the slope, the steeper the line.
Any two points on
a line can be used to compute the slope. The same value will be
obtained, no matter which two points are chosen.
The slope can be
positive, negative, 0, or undefined.
A horizontal line
has slope 0. A vertical line has undefined slope.
If a line
increases as it moves from left to right, its slope is positive. If
it decreases, its slope is negative.
Slope and Rate of Change
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.