# Week 14 in Math 10

What I learned week 14 in math 10 is about a slope.

The slope of a line segment defines and describes a measure of the steepness of the line segment. The most important part to get a value of the slope is a rise and a run. A rise defines the change in vertical height between the endpoint, and a run is a change in horizontal length between the endpoints. It is difficult to memorize with those meaning because my English skills are weaker, so I decide understanding meanings instead of memorizing. Easily, a rise is a connection with y value and a run is a connection with x value. The rise and run are used to make a ratio to get a value of the slope. The ratio is the rise over the run (rise/run). The rise is POSITIVE if we count UP, NEGATIVE if we count DOWN and the run is POSITIVE if we count Right, and NEGATIVE if we count LEFT.

For example,

• a = it counts UP and RIGHT, so its slope is POSITIVE. The rise is 6 and the run is 2, so the fraction is six over two and it can be divided by 2.
• So, the slope is 3.
• b = it counts UP and LEFT, so its slope is NEGATIVE. The rise is – 9 and the run is even 9, so the fraction is nine over nine and it can be divided by 9.
• So, the slope is – 1.
• c = it counts DOWN and RIGHT, so its slope is NEGATIVE. The rise is – 2 and the run is 6, so the fraction is negative two over six and it can be divided 2.
• So, the slope is – 1/3.
• d = it counts DOWN and LEFT, so its slope is POSITIVE. The rise is – 3 and the run is – 5, so the fraction is negative three over negative five it can be divided by – 1.
• So, the slope is 3/5
• e = it counts DOWN and RIGHT, so its slope is NEGATIVE. The rise is – 1 and the run is 8, so the fraction is one over eight and there is no GCF (Greatest Common Factor) which can divide them.
• So, the slope is – 1/8