Find the slope of this line: You can use any two points that are on the line. However they give us two convenient ones Since there is no change in the vertical direction, all horizontal lines have a slope of 0. This is called an undefined slope. *Go on, try it. Plug 4 ÷ 0 in your calculator…what do you get?
  The slope of a vertical line is not defined.   The slope is independent of which two points are chosen on the line. Slope of a Line  The figure shows several lines labeled with their slopes.
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Slope-Intercept Form of the Equation of a Line. The linear equation written in the form. y = mx + b. The slope m measures how steep the line is with respect to the horizontal. Given two points \left By having a negative slope, the line is decreasing/falling from left to right, and passing through the...

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• The slope of a nonvertical line is the ratio of its vertical change, the rise, to its horizontal change, the run. To find the slope of a line you would subtract the corresponding coordinates of any two points on the line. Definition
• Vertical lines have no slope. Horizontal lines have a zero slope. Parallel lines have equal slopes. Perpendicular lines have negative reciprocal slopes. Solved Examples. Example 1: Find the slope of the line whose coordinates are (2,6) and (5,1)? Solution: We have, (x 1, y 1) = (2, 6) (x 2, y 2) = (5, 1) The slope of a line formula is m = (y 2 ...

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Model for the class on a whiteboard how to access the Graphing Lines sim. Then working independently or with a partner, have students explore the Point-Slope screen of the sim. Guided Exploration Distribute the Point-Slope Activity Sheet. Instruct students to complete the activity sheet while interacting with the Point-Slope screen of the sim.

• Algebraically, this makes the numerator of the fraction change in y which implies that the slope of any horizontal line is . If the line is vertical, there is no (zero) change in x. That makes the denominator of the fraction change in x. Of course, we know that anything divided by is not defined. As a consequence, slope of a vertical line is undefined.
• Since the ordinary definition of slope works fine for horizontal lines, maybe define the slope of a vertical line as the reciprocal of the slope of a horizontal line? Then fewer things need their own special definition. Other perpendicular lines have slopes that are negative of the reciprocals of each...

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Check When going from left to right, the graph of the line slants downward. This is consistent with a negative slope. The slope of any horizontal line is zero. The slope of any vertical line is undefined.

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The slope is delta y / delta x. In a vertical line, the slope is undefined because the x value is 0. A horizontal line has a slope of 0 because the y value is 0.

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Horizontal and vertical lines are always perpendicular: therefore, two lines, one of which has a zero slope and the other an undefined slope are perpendicular. Example 1: If line l has slope 3/4, then (a) any line parallel to l has slope ___, and (b) any line perpendicular to l has slope ___. a. (a) 3/4 (Theorem 103) b. (b) −4/3 (Theorem 105)

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Jun 07, 2012 · The slope of a vertical line is its “rise over run.” Given any “slanting” line, we can take any two points and form an right triangle. The rise of the line is the length of the vertical side of the right triangle and its run is the length the horizontal side.

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Horizontal lines have a slope of zero, and vertical lines have undefined slopes. Given any two points on a line, we can algebraically calculate the slope using the slope formula, m = r i s e r u n = y 2 − y 1 x 2 − x 1 .

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Because slope = , the slope of a “downhill” line must be . In the Gizmo, graph several lines that are horizontal (flat). Then fill in the blanks below. What is true about the rise of all horizontal lines? What must be true about the slopes of all horizontal lines? In the Gizmo, graph several lines that are vertical (straight up and down).

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