Unit 2, lesson 1-6 : Linear Equations and Functions

Pataasin ang iyong marka sa homework at exams ngayon gamit ang Quizwiz!

ordered pair

A pair of numbers that can be used to locate a point on a coordinate plane

domain

a set containing the first member of its ordered pair

scatter plot

A graph with points that are plotted to show the relationship between two data sets.

input

A value that is substituted for the independent variable in a function or relation

y = 5

Example of a line with a slope of zero passing through (0,5).

x = -1

Example of a line with no slope passing through (-1,6).

vertical line test

If any vertical line passes through no more than one point of the graph of a relation, then the relation is a function.

y = 6x + 4

Rewrite in slope intercept form: 12x - 2y = -8.

The lines are perpendicular because they have negative reciprocal slopes of 2 and -1/2

Tell whether the lines are parallel or perpendicular: Line 1: through (3,-3) and (-7,2) Line 2: through (-8, 3) and (-6, 7)

x-intercept

The point where the line crosses the x-axix, (x,___)

Domain

The possible values for the input of a relation or function

range

The possible values of the output, or dependent variable, of a relation or function.

output

The result of substituting a value into a function.

slope of perpendicular lines

Two non-vertical lines have slopes that are negative reciprocals of each other.

slope of parallel lines

Two non-vertical lines have the same slope.

f(x) function notation

Used to show that the output value of the function corresponds to the input value (x).

independent variable of a relation or function

What does x represent in an equation?

dependent variable of a relation or function

What does y represent in an equation?

a relation in which each element of the domain is paired with exactly one element of the range

What is a function?

a set of ordered pairs

What is a relation?

y = mx + b

What is slope-intercept form?

y = 3x - 2

What is the equation of a line parallel to the line y = 3x + 1 and passing through (0,-2)?

y = -6x +5

What is the equation of a line passing through (2,-7) and (1, -1)?

y = 2/3 x + 8

What is the equation of a line passing through (3,10) with a slope of 2/3?

y = -3/2 x + 6

What is the equation of a line that is perpendicular to the given line in the graph and passes through the point (4,0)?

(0,0), the point where the x & y axis meet

What is the origin?

m = 7/8

What is the slope between (8,10) and (0,3)?

undefined slope (no slope)

What is the slope for the graph?

0

What is the slope of a horizontal line?

undefined slope

What is the slope of a vertical line?

y = 2x - 4

What is the slope-intercept form of the line in the graph ?

Ax + By = C, where A & B are not equal to zero, traditionally A is positive, and A,B,C are integers.

What is the standard form of a linear equation in algebra?

5x - y = 7

Write the equation in standard form: y = 5x - 7

y = -3x - 4

Write the equation of a line with a slope of -3 and a y-intercept of -4

range

a set containing the second member of its ordered pair

slope

the steepness of a line on a graph, equal to its vertical change divided by its horizontal change

y-intercept

the y-coordinate of the point where the line crosses the y-axis


Kaugnay na mga set ng pag-aaral

Microeconomics Final Review (Test 1 A/B + Test 2 A/B) Bruce McClung 2314

View Set

OJA 8th grade social studies-21 century challenges

View Set

Business Management: Chapter 1 Test

View Set

FDR's New Deal and Other Actions

View Set

BIO 111 FINAL EXAM (Chapters 11-12 are first)

View Set

Public Speaking Exam #2 Study Guide, Presenting Online, the art of public speaking chapter 8 Part 2, public speaking chapter 8

View Set

C963 American Politics & Constitution WGU custom cards

View Set