What is the difference between synthetic and long division?
If you are dividing by (x-2), you would be using long division by keeping it in that form and keeping the original form of the equation. If you would rather use synthetic division, you would make it (x=2), and to divide, you would just take the numbers in front of the variables and divide by 2.
How can I divide a fraction by another fraction?
When you are dividing by a fraction, it is easier to multiply by the reciprocal. The reciprocal means we are just flipping the fraction upside down. After that, instead of dividing, we can multiply the fractions instead.
How do you graph the line of an equation with two points if you are not given the slope of the line?
If you are given two points on the line, you can figure out the slope by using the slope formula. You can subtract one y coordinate from the other, and then subtract one x coordinate from the other. After that, divide y/x and it will give you the slope of the line.