This week in math 10 something I learned was how to write 3 different versions of a graphing equation. The first one I learned was called a slope y-intercept form, the second one I learned was called the general form or the “pretty form” and the last one I learned was called point slope form. Today I will be showing how to find the slope y-intercept form.

First in order to write any equation you must know at least two points about the graph. It is also important to know that the formula for slope is  and the formula for slope y-intercept is y=mx+b. In this equation m stands for the slope and b stands for the y intercept.

Example:

How to find slope y-intercept form:

1. First, you need to find the slope using the formula  ,make sure that you simplify if possible.
2. Since we weren’t given the y intercept we need to find what b is equal to. To do this you need to isolate b, to do this you take one of the coordinates given and input it into the equation, in this case I chose (3,4).
3. If there is a fraction in the equation you want to make it into an integer so, you multiply the slope by x and then multiply everything in the equation by the fractions denominator.
4. You then move the integer on the right side of the equation by adding the opposite so that you can isolate b. Remember what you do to one side you have to do to the other.
5. Since we just want to find the value of b you need to divide both sides of the equation by the coefficient in front of b.
6. After finding the value of b you just input all the information that you know about the graph into the equation (This only applies to the slope and y intercept).