What Is The Equation Of A Line Example | dvery35.ru
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Slope and Y-Intercept of a Linear Equation.For the linear equation y = abx, b = slope and a = y-intercept. From algebra recall that the slope is a number that describes the steepness of a line, and the y-intercept is the y coordinate of the point 0, a where the line crosses the y-axis. Real life examples, or word problems on linear equations are numerous. Consider the following two examples: Example 1: I am thinking of a number. If I add 2 to that number, I will get 5. What is the number? Although it may be fairly easy to guess that the number is 3, you can model the situation above with an equation Let x be the number in my.

In this case both the slope and the y intercept are known and the equation can be written directly. For example if the slope is -2 and the y intercept is 0,6, then the equation is In this case the slope and one set of coordinates are known. This case involves the use of the point-slope formula. Some examples of linear equations in slope-intercept form: You could have y = 2x1; you could have y = -3x; and you could have y = 2/3x - 6. In each equation, the number in front of the x represents the slope, or the number that it's moving by. The number on the end represents where it begins, or the y-intercept. Interactive Tutorial with Examples and Solutions 1 - Use the mousse, click press and drag points A and B slowly, determine their coordinates and use the formula of the slope of a line to calculate the slope of the line through the two points and then find the equation of the line through A and B.

That line, therefore, is called the graph of the equation y = 2x6. And y = 2x6 is called the equation of that line. Every first degree equation has for its graph a straight line. We will prove that below. For that reason, functions or equations of the first degree -- where 1 is the highest exponent -- are called linear functions or linear equations. In linear equation, each term is either a constant or the product of a constant and a single variable. If there are two variables, the graph of linear equation is a straight line. General form of the linear equation with two variables is given below: The equation of a line is typically written as y=mxb where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.

Real-life examples of linear equations include distance and rate problems, pricing problems, calculating dimensions and mixing different percentages of solutions. One application of linear equations is illustrated in finding the time it takes for two cars moving toward each. If the position vector of a specific point that lies on the line and a vector that gives the direction of the line, called a direction vector, are both present, then the position vector referred to as "r" of any general point P on the line is given by the equation: r = atb. For example, suppose that Line A has the equation r = i3kt2ijk, so that line A is i3k and line B is 2ijk. An equation involves an unknown number, typically called x. Here is a simple example: x4 = 10. "Some number, plus 4, equals 10." We say that an equation has two sides: the left side, x4, and the right side, 10. Because x appears to the first power, we call that a linear equation. A linear equation is also called an equation of the first.

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