3. Linear Functions

3.02 Transformations of linear functions

3.03 Slope-intercept form

3.04 Standard form

3.05 Point-slope form

3.06 Equations of parallel and perpendicular lines

United States of America Virginia

Algebra 1

3.06 Equations of parallel and perpendicular lines

Adaptive

Worksheet

Interactive practice questions

Which lines have the same slope as $y=6x+3$y=6x+3?

Select all correct options.

$y=6x+2$y=6x+2

A

$y=3x+3$y=3x+3

B

$y=6x-3$y=6x−3

C

$y=-6x+3$y=−6x+3

D

$y=6x$y=6x

E

$y=3x+2$y=3x+2

F

Easy

< 1min

What is the slope of any line that is parallel to $y=4-4x$y=4−4x?

Easy

< 1min

What is the slope of a line parallel to a line with slope $-5$−5 ?

Easy

< 1min

State whether or not these lines are perpendicular.

L1: $y=-8x-3$y=−8x−3

L2: $y=\frac{x}{8}-2$y=x8−2

Easy

< 1min

Outcomes

A.F.1

The student will investigate, analyze, and compare linear functions algebraically and graphically, and model linear relationships.

A.F.1a

Determine and identify the domain, range, zeros, slope, and intercepts of a linear function, presented algebraically or graphically, including the interpretation of these characteristics in contextual situations.

A.F.1c

Write equivalent algebraic forms of linear functions, including slope-intercept form, standard form, and point-slope form, and analyze and interpret the information revealed by each form.

A.F.1di

Write the equation of a linear function to model a linear relationship between two quantities, including those that can represent contextual situations. Writing the equation of a linear function will include the following situations: i) given the graph of a line;

A.F.1dii

Write the equation of a linear function to model a linear relationship between two quantities, including those that can represent contextual situations. Writing the equation of a linear function will include the following situations: ii) given two points on the line whose coordinates are integers;

A.F.1diii

Write the equation of a linear function to model a linear relationship between two quantities, including those that can represent contextual situations. Writing the equation of a linear function will include the following situations: iii) given the slope and a point on the line whose coordinates are integers;

A.F.1e

Write the equation of a line parallel or perpendicular to a given line through a given point.

A.F.1f

Graph a linear function in two variables, with and without the use of technology, including those that can represent contextual situations.

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