Finding the Slope of a Line

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Finding the Slope of a Line In general, slope is the rate at which the path rises or decreases. In other words, The slope is a number that tells how steep a line goes up and down. For example consider that your surfing on a mountain, you keep sliding on the mountain. The rate at which the steepness changes, is said as slope. If the line is from top to bottom level, the slope is at 0 (zero) and theline is exactly horizontal. If, as you go to the right, the line goes upward, we say it is sloping up or positive slope. If it goes down as we go to the right, we call that line as a negative slope. Formula for Slope of a Line Slope of a line is defined as the ratio of rise over run. In other words, slope can also be defined as the ratio of change in 'y' value to the corresponding change in 'x' value. The definition mentioned above can be represented from the following, Slope can be represented as = Hence, slope of a line is defined as the ratio of to the Know More About Formula for Area of a Rectangle

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Finding the Slope of a Line Below are examples for finding the slope of a line Example 1: Find the slope of line given below using ratio method, Solution: To figure out the slope of the given line, Draw a horizontal line of some distance on the graph. From that point, illustrate a vertical line from the to lay a hand on the line. The horizontal line show the change in 'x', and the vertical line gives the corresponding change in 'y'. The figure below gives a clear idea, Example 2: Find the slope of line using the ratio method. Solution : To figure out the slope of the given line, Draw a horizontal line of some distance on the graph. From that point, illustrate a vertical line from the to lay a hand on the line. The horizontal line shows the revolutionize in 'x', and the vertical line gives the corresponding change in 'y'. Learn More How do you Find the Area of a Rectangle Tutorvista.com

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The figure below gives a clear idea,

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What is a Quadrilateral Quadrilateral Definition states that a quadrilateral is a polygon having 4 sides. ABCD is a quadrilateral and AC and BD are its diagonals. Types of Quadrilaterals There are different types of quadrilaterals based on their properties. The names of quadrilaterals are as follows: Parallelogram

Rectangle

Rhombus

Square

Trapezium

These are some of the special quadrilaterals. Parallelogram A parallelogram has its opposite pairs of sides parallel. Its other properties are: (i) The opposite sides are equal. (ii) The opposite angles are equal. (iii) The diagonals bisect each other.

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In the figure above, the perpendicular AL to DC has been drawn. AL is called the height of ABCD. Rectangle A rectangle is a parallelogram having all angles equal. Its other properties are: (i) The diagonals are equal. (ii) Each angle is a right angle. Rhombus A rhombus is a parallelogram having all sides equal. Its other properties are: (i) The diagonals bisect each other at right angles. (ii) The diagonals bisect the angles at each vertex. Square A square is a parallelogram having all its sides equal and all its angles equal. Its other properties are: Read More About Area of Rectangle Formula

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(i) The diagonals bisect each other at right angles and are equal. (ii) The diagonals bisect the angles at each vertex and each half is equal to 45o. Trapezium A trapezium is a quadrilateral having one pair of opposite sides parallel. A trapezium with non-parallel sides equal is called an isosceles trapezium. Quadrilateral Problems Below are some problems on quadrilateral Question 1: ABC is a triangle in which AB = AC. D is a point on BC produced. Prove that AD>AB. Answer: Given: In � ABC, AB=AC D is a point on BC produced. To prove: AD>AB Proof

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