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Hey Star-Splitters Algebra 1! Today, we are going to talk about the slope-intercept form of a line.
So, first, what is slope-intercept form?
In Algebra, we represent lines using equations. The most common type of equation used to represent a line is the slope-intercept form of a line. You can represent any straight line using this form.
As the name implies, the slope-intercept form of a line will tell you two things about that line:
The slope, or m
The y-intercept (intercept for short), or b
The equation is y=mx+b
You replace the "m" with the slope of the line, and the "b" with the y-intercept, and there you have it!
We already know how to find the slope of a line from a graph. Remember this, as well:
In order to write these equations, you also need to know "b," the y-intercept.
The y-intercept, as the name implies, is the place where the line intercepts (or crosses) the y-axis. The y-axis is the VERTICAL axis.
In this image, the y-intercept is 1. You would write this as b = 1.
In this image, the y-intercept is -4. You would write this as b = -4.
In this image, the y-intercept is 0 (because the line passes through the origin). You would write this as b = 0.
So, once you know the "m" and the "b," you can just write your equation like you see in these two examples.
So, how do you find the slope of a line on a graph? You can look at these again if needed.
If you like to read: Check out this article
If you prefer watching videos: Check out this video
How do you write an equation in slope-intercept form?
Here are a couple of videos:
Write slope-intercept form from a graph
Here are a couple of games:
Assignment for today:
Assignment for today:
Complete this worksheet
The first part of each problem is just line yesterday (find the slope, or rise over run). Then, find the b, or y-intercept. Once you know both of those things, put them in the correct places in the equation y=mx+b, and you're done!
The answer key is at the end of this worksheet.
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