Slope intercept form is best when you know the y-intercept and the slope of a line, but there are many times, especially when talking about real life situations, that we don't know what the slope or the y-intercept are.
Suppose you have 2 jobs that each pays different hourly wages. Job X pays $10 per hour, and job Y pays $12 per hour. How many hours do you need to work at each job to earn $2000? While the relationship would represent a straight line, it may not be easy to determine the slope and y-intercept immediately.
Today we will learn about the general form:
Ax + By + C = 0
We will also learn about the 2 special cases:
- horizontal line
- vertical line
- P365 #1, 2-3 (ace), 4-5, #6ace, #7, 10-14, 18, 19, *15, *16,
After today, you should be able to:
- change an equation in slope-intercept form into general form
- use the general form to find the x and y intercepts
- draw the graph of a line if you are given general form
- draw graphs of special cases (vertical and horizontal lines)