Why study mathematics? linear equations and the form of point-slope

As we saw in the article "Why Study Mathematics - linear equations and slope-shape, linear equations or functions, only some of the most fundamental areas of mathematics and basic algebra studied. Here we will look to consider and another common way to write linear equations: the point-slope form.

As the name suggests, the shape point-slope equation of a line depends on two things: the slope and a point on the line. Once we know the two things we canWrite the equation of the line. y1 = m - Mathematically, the shape of the point-slope equation of the line passing through the point (x1, y1) with a slope of m, y (x - x1). (The 1 in x and y is actually an index that distinguishes us from X1 and Y1 of Y allows X)

To show how this form is used, take a look at the following example: Suppose you have a line, the track 3, and the point (1, 2). We can easily graph this line byThe point (1, 2) and then use the 3-3 slope unit and then go right one unit. To write the equation of the line, using a smart device. There are variables x and y as a point (x, y). In point-slope form y - y1 = m (x - x1), we have (1, 2) as the point (x1, y1). We then write y - 2 = 3 (x - 1). Using the distributive property on the right side of the equation, we can write y - 2 = 3x - 3 -2 By right, we can write
y = 3x -1. If you have not already guessed, is to make this last equation in slope-intercept.

To see how this form of equation of a line in a real world "is used, take the following example, the information taken from an article in a newspaper. It turns out that the temperature influences the speed. In fact, the optimum temperature for operation below 60 degrees Fahrenheit. If a person was at his best, at 17.6 meters per second, he or sheslow down to about 0.3 meters per second for every 5 degree increase in temperature above 60 degrees. We can use this information to write the linear model of this situation, and then calculate, for example, the optimal speed of 80 degrees.

Let T is the temperature in degrees Fahrenheit. Let P represent the optimal speed in meters per second. The information in this article we know that the optimal speed of 60 degrees 17.6 meters per second. This point(60, 17.6). We use other information to determine the slope of the line for this model. The slope m is equal to the speed variation of the temperature change or M = P / T change We are told that the pace slowed from 0.3 meters per second for every increase of 5 degrees above the 60 ° A decrease is represented by a negative. Using this information we can calculate the slope to -0.3 / 5 or -0.06.

Now that we have a point and the slope, we can write the modelrepresents this situation. We have P - P 1 = m (T - T1) or P - 17.6 = -0.06 (T - 60). Using the distributive property can use this equation in slope-intercept. We get P =- 0.06T + 21.2. To find the optimal speed of 80 degrees, we need to get a compensation of only 80 for the Model T on 16.4.

Situations like these show that math is really used to solve problems that arise in the world. If we're talking about the optimum speed and maximum profit is the key to the mathematicalUnlock our potential for understanding the world around us. And if we understand, we are the power. There was a nice way!

Brain Gym

Today is for people to go to fitness and exercise together. Gymnastics is a shield against many health risks and also a way to build a beautiful body and sexy. Almost everyone is aware of the general benefits of exercise, but how many of us are familiar with brain exercise?

The human brain is the final realization of nature. This is a hidden treasure in our minds. How do we do with our bodies, we apply our brain the same. This isensure that our spirit to be fit and a good performance for a long time.

When we age our mental capacities diminish. We can stop or slow down this process with simple daily exercises the brain. Fortunately, many studies have many ways we do this show. A powerful is to stop routine and consistent habits. For example, brush your teeth with your other hand is a simple way we stop to rot the brain.

We try to keep your mind active as possible onthe day. In this way, we are constantly learning mode, neurons in the brain between forces to form a new synapse, every day. Most synapses is to think faster, and no congestion information "bottlenecks", less fatigue, increased IQ and more.

Gymnastics requires that all amounts paid during leisure time, exercise the brain requires much lower. Only 15 minutes from your daily free time sufficient to form the brain and force him to new synapses. Onlyplay some games and quizzes for fifteen minutes and you stay in shape the brain. "

One of the most powerful ways to keep your brain and your body young, but much time is to learn the language, a foreigner, especially one very different from your native language. This is actually a potion of youth. improve your mental skills at all levels and to increase the power of the mind. It 'as an old freezer for your brain.

ManyPeople ignore the importance of fitness and the brain only cares about his body and the way they look. But the same people feel very uncomfortable when there is a point where they show how they think. Even if exercise is good for brain function is not only a form factor that keeps the brain. Unfortunately, the brain must have its own special exercises.

The solution is to combine training with Brain Gym. E 'Not so difficult, only a decision. Remember that the brain needs much less training time for your body. Then, activate all up here is a typical management plan of the brain:

Stop or routine. Make your days differently. Do not repeat the same activities every day. New and unfamiliar stimuli to the brain. This is everything you do, even with the change of hand that if you lift the glass.

or spend a few minutes of your daily newspapertime to play the brain. These keep and maintain your neural networks.

or keep the brain active as much as possible. Think and think, all in question. Do not be a passive information. TV Turn-by rotting brain-machine to a resource, the right to judge food spirit of what they are trying to serve "you.

Or Find out if you have the time, a new foreign language.

Do not stop or gymnastics!