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Welcome Students! As stated above, the purpose of this message board is to learn the different parts of the slope-intercept equation and to be able to apply it to the real world. Here is everything you need to know about slope-intercept form to complete this assignment:
Slope-intercept form is the equation of a line, y=mx+b.
The "m" stand for slope. You can find slope by selecting two known points from the line and applying them to the formula (y2-y1)/(x2-x1).
When you calculate the slope, you can then find the y-intercept. The y-intercept is "b" in the equation and it is the point where the line crosses the vertical y-axis. You simply plug in one of the points as the "y" and "x" in the equation and plug in the slope as "m". Then, you solve for "b" and that gives you the y-intercept.
Finally, you plug back in the "b" and "m" in the form y=mx+b and you get the equation of that straight line!

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There will be three posts that include two known points of a line, and you are required to pick any two points and solve for "m" and "b". After solving, you must apply those back to the original form y+mx+b to find the equation of the line you picked. Please explain how you got your answers as best as you can, so I may assist you in case of an error.
I would also like everyone to reply a comment to a question I will have posted at the bottom of the page. Do the best you can and do not hesitate if you have any questions.

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In case you are having trouble finding the slope-intercept equation of your line, here is an example:
Two known points of a line are (3,2) and (6,8). Calculate the slope and y-intercept, and use that information to create the equation of the line.
First, find the slope. Plug in the two points to the equation (y2-y1)/(x2-x1). It will look like this: (8-2)/(6-3) = (6)/(3) = 2. The slope of the line is 2.
Now, calculate the y-intercept. Plug in the slope, 2, and use one of the points as the "x" and "y". If I use the point (3,2), my work will look like this: y=mx+b 2=2(3)+b 2=6+b Subtract 6 from both sides. -4=b. The y-intercept is -4.
The slope-intercept equation for the line will then be: y=2x-4.

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Please calculate the slope and the y-intercept with the two given points, and find the equation of the line in slope-intercept form.
Two points: (1,5) (7,14)

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Please calculate the slope and the y-intercept with the two given points, and find the equation of the line in slope-intercept form.
Two points: (5,9) (15, 20)

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Please calculate the slope and the y-intercept with the two given points, and find the equation of the line in slope-intercept form.
Two points: (7,8) (18,22)

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Now that you have learned how to find the equation of a straight line, answer these questions:
What reasons, if any, is it important to learn about slope-intercept form?
Where else could you apply slope-intercept form in the real world?
*Hint* If you are having trouble answering these questions, look at the pictures provided throughout the lesson.

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Thank you everyone for your feedback. As seen in the answers, I will do a review tomorrow in class of solving for the y-intercept before we move onto our next lesson. See everyone in class tomorrow!