1B Slope of a Line
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Calculus: The Slope of a Line
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Calculus: Understanding the Slope of a Line, Summaries of Calculus
An introduction to the concept of the slope of a line in calculus. It explains that the slope is the steepness of a line and is represented by the vertical change over the horizontal change. The document also covers point-slope form, slope-intercept form, and the general equation of a line. Examples and exercises are included to help illustrate the concepts.
Typology: Summaries
2021/2022
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Calculus: The Slope of a Line
There is only one line between any 2 points. The slope of a line is: The steepness of the line. The vertical change over the horizontal change, denoted by m. Given two points, (x 1 ,y 1 ), (x 2 ,y 2 ) in the Cartesian Plane, m = Examples of slope: EX 1 a) Find the slope of the line containing these points: (- 3 , 2 ) and ( 2 , 5 ) b) Find the slope of the line containing these points: ( 5 , - 6 ) and (- 2 ,- 6 )
General Equation of a Line Every line can be written in the form Ax + By +C = 0 , where A,B, and C are integers. EX 3 Write the equations from Exercise 2 in general form.
Parallel and Perpendicular Lines Parallel lines have the same slope. Perpendicular lines have negative reciprocal slopes.
Determine the slope of each line segment in this function.