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Linear Equations: Slope, Intercept, and Graphing, Exams of Linear Algebra

University of Technology Sydney (UTS)Linear Algebra

The concepts of linear equations, focusing on finding the slope, writing equations in slope-intercept, point-slope, and standard form, and graphing linear functions. It includes examples and exercises.

Typology: Exams

2021/2022

Uploaded on 07/05/2022

carol_78
carol_78 🇦🇺

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2.3 Linear Equations , Slope-Intercept Form,
& More Linear Equations
Objective
:
SW graph linear equations
SW write the equations of lines
Warmup
________________________________________________________________________
List some things that come to mind when you hear the word SLOPE.
pf3
pf4
pf5

Partial preview of the text

Download Linear Equations: Slope, Intercept, and Graphing and more Exams Linear Algebra in PDF only on Docsity!

2. 3 Linear Equations , Slope-Intercept Form,

& More Linear Equations

Objective:

 SW graph linear equations  SW write the equations of lines

Warmup

________________________________________________________________________

List some things that come to mind when you hear the word SLOPE.

Possible Graphs of Lines

Horizontal lines have a slope Vertical Lines have an of __________. __________________ slope. Finding Slope

Slope formula:

Find the slope of the lines going through the two given points.

Another method for finding slope – helpful with graphs

Write the linear equation in standard form. You can start off using any of the two methods and

then change it into standard form.

  1. slope = 4 and y – intercept = -5 2. Goes thru points (6, - 2) and (1, 8)

Rearrange to put into standard form.

  1. -2x + 10y = 7 4. 9 3 1 4 xy
  2. 12x = 8y – 6 GRAPHING TIME!!! Linear Function – A solution to any linear function is any ordered pair (x, y) on its line. Is (1, 6) or (2, 0) a solution to y = -2x + 4?

Methods of graphing for linear functions:

Table of values Slope-intercept form x and y-intercepts y = -2x + 4 y = -2x + 4 y = -2x + 4

Parallel and Perpendicular Lines:

Are these lines parallel or perpendicular?

Ex. 1 6y = 2x + 18 3y - x = 7 Ex. 2 4x + y = 7 -x + 4y = 16

Write the linear function in slope-intercept form.

  1. Write an equation of the line that is parallel to y = 2x + 5 and goes through (3, 2).
  2. Write an equation of the line that is perpendicular to y = 2x + 5 and goes through (4, -1). Horizontal Line: Vertical Line: