This week in math 10 we started our unit on slopes (rate of change). We learned how to tell if this was a positive, zero, negative or undefined by looking at the steepness of the slope. We also learned how to get a line when given a starting point (coordinate) and a slope (rise/run). Another thing I learned is how to find the slope with 2 coordinates.
First thing I will go over is how to identify if it is a positive, negative, undefined, or zero slope. What helps me remember the differences is the slope guy.
Positive: The slope is going up (green)
Negative: The slope is going down (red)
Undefined: The slope is vertical (Yellow)
Zero: The slope is horizontal (blue)
Now that you know how to tell what type of sleep it is just go onto how to find the line when given a coordinate and a slope.
Step one: find the starting point
For our example starting our starting point is (2,1)
Step 2:
Look at the given slope and graph the next points. -3/4 (rise/run)
Now that you know how to draw the line when given a starting point and the slope let’s try to find the slope when only given 2 coordinates.
Step 1: place the two coordinates into a T chart (9,10) and (15,12)
Step 2: find the difference between the first set of coordinates and the second set of coordinates.
Step 3: Place the numbers into the rise over run format. If possible simplify the answer.
