Linear Equations and Linear Functions Problem Solving Tutorial

https://www.youtube.com/watch?v=2AG_Dt3x7q0. In this math tutorial, learn how to solve linear equations for their intercepts and slopes. Also learn about slope-intercept form and point-slope form of the equation of a line (graph a linear function). Also discussed are word problems, directly proportional, inversely proportional, and general functions representing change (for example, speed and distance). A challenge problem using the quadratic formula is solved at the end. Infinite Powers, How Calculus Reveals the Secrets of the Universe: https://amzn.to/37PBMjb.

🔴 Calculus 1, Lesson 1.1: Linear Functions (3Blue1Brown SoME2): https://www.youtube.com/watch?v=47ZqW19AjD4

🔴 AP Calculus AB Exam Review: Practice Exam Problems & Solutions (Multiple Choice, No Calculator): https://www.youtube.com/watch?v=2AG_Dt3x7q0

🔴 AP Calculus AB Exam Review: Free Response Practice Exam Problems & Solutions: https://www.youtube.com/watch?v=RLgUwP44V_M

🔴 AP Calculus BC Exam Review: Practice Exam (30 Question Multiple Choice, No Calculator): https://www.youtube.com/watch?v=1Q7ALcwT97A

🔴 AP Calculus BC Exam Review: Free Response Practice Exam Problems & Solutions: https://www.youtube.com/watch?v=ZWisJEDP44w

🔴 Calculus 1 Exam 1 Review Problems and Solutions (Precalculus, Limits, Continuity, Derivatives): https://www.youtube.com/watch?v=UjmvUwvd7c4

🔴 Calculus 1 Course, Lecture 1: The Big Ideas (Rates & Areas, the Infinity Principle & Circular Area): https://www.youtube.com/watch?v=2V_ehJC5QUY

🔴 Calculus 1 Course Lecture Playlist: https://www.youtube.com/playlist?list=PLmU0FIlJY-MkFrKtM0S0NLu-TxZa5jBIx

#linearequations #linearfunctions #calculus

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(0:00) Introduction
(0:23) Intercepts and slope of the line 3x+4y+5=0
(3:46) Graph the line 3x+4y+5=0
(6:37) Slope-intercept form of the line through two points (also discuss point-slope form)
(10:38) Equation of parallel line
(11:55) Equation of perpendicular line (slope is negative reciprocal of the original line’s slope)
(13:24) General problem about parallel and perpendicular lines
(17:24) Word problem about a linear function. Interpret the slope and intercept.
(24:10) Directly proportional and inversely proportional problem solving
(27:13) Functions arising based on proportionality relations
(30:19) Domain and range
(36:47) Depreciation of a car: the value of a car is a function of its age. Draw the graph and interpret the intercepts.
(42:56) Speed and distance graphs based on a story
(46:22) Challenge problem: find the coordinates of a point on a parabola and a line based on knowledge of two given points, one of which is a parameter.

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