Week 14 review

Things I have learned this week:

-How to find the distance between two points

positive slope piggy
examples:

(1,6), (1,9)
Subtract the y values then you will get 3 or -3, since this is a distance, there is no negative values so the answer is 3.

(20,2),(5,2)
Subtract the x values and the answer is 15.

(2,5),(3,9)
Find the difference between x values and then find the difference between y values. Then use pythagorean theorem to find the length of the line segment. So the answer is \sqrt{(2-3)^2+(5-9)^2}=\sqrt{17}

 

-How to find slopes

(2,5),(7,20)
You have to find the rise(difference between y values) and run(difference between x values), then do \frac{rise}{run}. So the answer is \frac{2-7}{5-20}=\frac{-5}{-15}=\frac{1}{3}

REMEMBER: YOU HAVE TO DO THE SUBTRACTION IN ORDER(\frac{y_1-y_2}{x_1-x_2})

 

Important things about slopes:

\frac{rise}{run}
positive slope: goes up from left to right
negative slope: goes down from left to right
zero slope: horizontal line
undefined: vertical line