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  • Converse of the Pythagorean theorem

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    The converse of the Pythagorean theorem helps you to find out if a triangle is a right triangle. Furthermore, it can help you find the type of triangle you are dealing with. Basically, the converse of the Pythagorean theorem states that whenever the sum of the squares of two sides (legs) equal to the square…

  • Pythagorean theorem

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    The Pythagorean Theorem was named after famous Greek mathematician Pythagoras. It is an important formula that states the following: a2 + b2 = c2 Looking at the figure above, did you make the following important observation? This may help us to see why the formula works. Therefore, area of red square  + area of blue square =…

  • Real-world applications of slope

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    Real-world applications of slope, just to mention a few, are the grade of a road, wheelchair ramp for the handicapped, and roof pitch. What is the grade of this road? Let’s see how the slope can be used to find it. Steep road To represent the grade of a road, numbers like 3%, 5%, 8%…

  • Slope calculator

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    Given two points, this slope calculator will compute the slope and the slope-intercept form of the line. (x1,             y1) ( ,  ) (x2,            y2) ( ,  )  Slope = m =  Guidelines to follow when using the slope calculator Use this calculator only to check your answers. You are responsible…

  • Convert from standard form to slope intercept form

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    To convert from standard form to slope intercept form you just need to solve for y using the standard form of the equation. Example #1: Convert the equation 4x + 2y = 12 to slope-intercept form 4x + 2y = 12 Subtract 4x from each side of the equation. 4x – 4x + 2y =…

  • Point slope form

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    The point slope form of a line is: y – y1 = m (x – x1)   m is the slope and (x1, y1) is a point on the line This lesson will use the slope and a point that are given to write the equation of a line in this form y – y1 = m…

  • Slope intercept form

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    The slope intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. The graph of a linear equation is a line and y = mx + b is one of the most common forms to write the equation of a line. How to…

  • Graphing slope

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    Graphing slope is the goal of this lesson. We will show you here how easy the process is using the slope and any point given.  A couple of examples showing how graphing slope works Example #1: Given a point of (1, 2) and a slope of 5/2, graph the slope of the line. First, we…

  • Undefined slope

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    Undefined slope is so often misunderstood and many students find it confusing that I thought it would be a good thing to dedicate a special lesson to explain it. As the lesson about “what is slope” shows, the 4 different types of slopes are positive slope, negative slope, zero slope and undefined slope. Basically, a slope…

  • How to find the slope

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    Here is how to find the slope. We saw in the lesson about what is slope that slope is a measure of how steep a line is and the steepness of the line can be measured with the following formula: How to find the slope when the rise and the run are known Let’s illustrate this with…