Finding the Standard Form of a Line

Hello there! Today, I will be talking about different formulas that are used when working with lines. Follow along to use these formulas while solving the practice problem for this video. Pay close attention because you might encounter this type of problem on a test!

Problem of the video: What is the equation in standard form of a line that passes through points (2,2) and (-2,3)?

Standard Form: Ax + By = C
Slope: m= (change in y) / (change in x) = (Y2-Y1) / (X2-X1)
Point-Slope Formula: Y - Y1 = m(X-X1)

When finding the slope, the X1 and Y1 are the x coordinate and y coordinate of a point on a line. X2 and Y2 are the x coordinate and y coordinate of a 2nd point on a line. It does not matter which point you choose to be point 1 or point 2. In the Point-Slope Formula, the Y1 and X1 are also the Y and X coordinates of a point on a line.

I hope you enjoy watching this video! Let me know in the comments if you have any questions or what you would like to see next.

Timestamps:
00:00 Introduction to problem of the video
00:23 What do we need to solve this problem?
00:44 Standard Form
01:14 Different formulas when working with lines
01:34 Finding Slope
02:54 Point-Slope Formula
05:19 Converting to Standard Form

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Hope you enjoyed my video! Thank you for watching!

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