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## Discussion for Calculus for Business Week 1 Lecture 1

by: asdg Notetaker

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# Discussion for Calculus for Business Week 1 Lecture 1 Math022

Marketplace > University of California Riverside > Applied Mathematics > Math022 > Discussion for Calculus for Business Week 1 Lecture 1
asdg Notetaker
UCSB

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This information pertains to the definition of slopes along with concepts such as Point Slope Formula, Slope Formula, and the ideas of Parallel and Perpendicular Lines.
COURSE
PROF.
Christian Michael
TYPE
Class Notes
PAGES
1
WORDS
CONCEPTS
Slopes, Parallel/Perpendicular
KARMA
25 ?

## Popular in Applied Mathematics

This 1 page Class Notes was uploaded by asdg Notetaker on Monday September 26, 2016. The Class Notes belongs to Math022 at University of California Riverside taught by Christian Michael in Fall 2016. Since its upload, it has received 6 views. For similar materials see Calculus for Business Discussion in Applied Mathematics at University of California Riverside.

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Date Created: 09/26/16
Professor: Christian Michael Office Hours 11:30-12:30 am Monday to Thursday, location TBA Slope: change over time with respect to a variable i.e. Profit over time y = mx + b (never an negative m, but m can equal a negative number) m is slope (△y divided by △x) b is y-intercept (0, b) Vertical-line test defines slope especially for m = 0 or undefined (infinity?) Slope formula = y​ - y​ / x​ - x​ or y​ - y​ / x​ - x​ not opposites or else you will get a negative 2​ 1​ 2​ 1​ 1​ 2​ 1​ 2​ slope Point-Slope formula (when rearranged from slope formula) y - y​ = m(x - x​ ) 1​ 1​ (x​1​ y1​) = use point on line with defined slope -> y = mx + b b = (-mx​ + y​ ) 1​ 1​ Parallel lines = when 2 lines have the same slope || -> m​ -> m​ 1​ 2 Perpendicular lines = when 2 lines have negative reciprocal slope ⊥ -> m​ -> -1/m​ 1​ 2 Ex.) 4x - 2y = 3 and passes through (2, 1) needs to be parallel -2y = -4x + 3 1st line: y = 2x - 3/2 y - 1 = 2(x-2) to find another line that is parallel y = 2x - 3 For perpendicular line m = -1/2 y - 1 = -1/2 (x - 2) y = -1/2x - 2

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