Slope intercept form. It's not just college algebra, it's algebra. It defines the slope of well... a slope. Y=mx+b. M in the equation is the slope and b is always the y-intercept. So if you want to find the slope of a line on a graph, this would most likely be the most common equation in algebra to find it.
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College Algebra is the required math for all college students.
define the meaning of the college algebra
The difference of algebra and algebra 1 is that in algebra they teach you the basics. For example, they teach you about variables, graphs, how to find slopes. In algebra 1 they start using equations and and teach you how to work longer equations and all that jazz.
Calculus is higher than Algebra. There are also courses on Linear Algebra and Differential Equations that are higher than college Algebra. If you contact the Math department of any college they should be able to give you a specific answer as to what courses they correspond with and what a challenging math class would be.