Slope Formula to Find Rise over Run

Slope Formula to Find Rise over Run The slope formula is sometimes called rise over run. The simple way to think of the formula is: Mrise/run. M stands for slope. Your goal is to find the change in the height of the line over the horizontal distance of the line. First, look at a graph of a line and find two points, 1 and 2. You can use any two points on a line. The slope will be the same between any two points on a straight line.Note the X and Y value for each of the points.Now well designate the X and Y value for points 1 and 2. Well use subscripts to identify them in the slope formula. The formula for the slope of the straight line going through the points (X1, Y1) and (X2, Y2) is given by M (Y2 - Y1) / (X2 - X1) The answer, M is the slope of the line. It can be a positive or negative value. The subscripts are only used to identify the two points. They are not values or exponents. If you find this confusing, you could give the points names instead. How about Bert and Ernie? Point 1 is now Bert and Point 2 is now ErnieLook at the graph and note their X and Y values:(XBert, YBert) and (XErnie, YErnie)The slope formula is now: M (YErnie - YBert) / (XErnie - XBert) Slope Formula Tips and Tricks The slope formula can give a positive or a negative number as a result. In the case of vertical and horizontal lines, it can also give no answer or the number zero. If the slope is a positive value, the line is rising. The technical term is increasing.If the slope is a negative value, the line is descending. The technical term is decreasing.You can check your math by eyeballing the graph. If you got a negative slope but the line is clearly rising, you made an error. If the line is clearly going down and you got a positive slope, you made an error. It could be you mixed up X and Y and points 1 and 2.Vertical lines have no slope. In the equation, you are dividing by zero, which does not produce a number. If a quiz asks the slope of a vertical line, dont say zero. Say it has no slope.Horizontal lines have a zero slope. Zero is a number. In the equation, you are dividing zero by a number and the result is zero. If a quiz asks the slope of a horizontal line, say zero.Parallel lines have equal slopes. If you find the slope of one line, you dont have to run the formula for the other line. They will be the same. This can save you some time and effort.Pe rpendicular lines have negative reciprocal slopes. If two lines cross at a right angle, you can find the slope of one and then change the value for the other to negative or positive.

History of the 1900 Olympics in Paris

History of the 1900 Olympics in Paris The 1900 Olympic Games (also called the II Olympiad) took place in Paris from May 14 to October 28, 1900. Planned as part of the immense World Exhibition, the 1900 Olympics were  under-publicized and completely disorganized.  The confusion was so great that after competing, many participants did not realize that they had just participated in the Olympics.   It is important to note, however, that it was in the 1900 Olympic Games that women first participated as contestants.   Chaos Although more athletes attended the 1900 Games than in 1896, the conditions that greeted the contestants were abysmal. Scheduling conflicts were so great that many contestants never made it to their events. Even when they did make it to their events, athletes found their areas barely usable. For instance, the areas for the running events were on grass (rather than on cinder track) and uneven. The discus and hammer throwers often found that there wasnt enough room to throw, so their shots landed in the trees. The hurdles were made out of broken telephone poles. And the swimming events were conducted in the Seine River, which had an extremely strong current. Cheating? Runners in the marathon suspected the French participants of cheating since the American runners reached the finish line without having the French athletes pass them, only to find the French runners already at the finish line seemingly refreshed.   Mostly French Participants The concept of the new, modern Olympic Games was still new and travel to other countries was long, hard, tiring, and difficult. This plus the fact that there was very little publicity for the 1900 Olympic Games meant that few countries participated and that a majority of the contestants were actually from France.  The croquet event, for example, not only had just French players, all the players were from Paris. For these very same reasons, attendance was very low. Apparently, for that very same croquet event, only one, single ticket was sold to a man who had traveled from Nice. Mixed Teams Unlike later Olympic Games, teams of the 1900s Olympics were often composed of individuals from more than one country. In some cases, men and women could also be on the same team. One such case was 32-year-old  Hà ©là ¨ne de Pourtalà ¨s, who became the first female Olympic champion. She participated in the 1-2 ton sailing event aboard the  Là ©rina, with her husband and nephew. First Woman to Win a Gold Medal As mentioned above,  Hà ©là ¨ne de Pourtalà ¨s was the first woman to win gold while competing in the 1-2 ton sailing event. The first woman to win gold in an individual event was British Charlotte Cooper, a megastar tennis player, who won both singles and mixed doubles.