# Shared Flashcard Set

## Details

Lines - Algebra
A review of writing lines and graphing lines
28
Mathematics
Not Applicable
11/27/2004

Term
 Define: Coordinate Plane
Definition
 A plane which is formed by two real number lines that intersect at a right angle.
Term
 Define: Ordered pair
Definition
 A pair of numbers used to identify a point in a plane
Term
Definition
 One of 4 parts into which the axes divide a coordinate plane.
Term
 If an ordered pair is in the first quadrant, what are the signs of x and y?
Definition
 They are both positive.
Term
 If an ordered pair is in the second quadrant, what are the signs of x and y?
Definition
 x is negative and y is positive
Term
 Define: Scatter plot
Definition
 A graph of pairs of numbers that represent real-life situations as a method to analyze the relationship between two quantities.
Term
 What are three relationships you can determine from a scatter plot?
Definition
 positive, negative, no linear relationship
Term
 If there is a positive relationship in a scatter plot and the x values are increasing, what can you determine about the y values?
Definition
 increasing
Term
 What is all of the solution of the following equation: y = 3x + 6
Definition
 a line of slope 3 and y-intercept 6
Term
 Why is the solution of any equation in the form y = mx + b a line?
Definition
 There are infinite number of solutions. However, for every x value there is one y value that is a solution. This relationship creates a line.
Term
 Name 4 methods of graphing a line.
Definition
 1. Calculator 2. Pick 3 x values and find matching y values 3. Graph b and use m to find more points 4. Find the x-intercept and y-intercept
Term
 If you are using m and b to graph a line, how do you use m to find more points.
Definition
 Go to b on the graph go right by the denominator and up or down by the numinerator.
Term
 How do you find the x-intercept?
Definition
 Make y = 0, and find solve for x.
Term
 How do you find the y-intercept?
Definition
 1. put equation in y= form and b is y-intercept 2. make x = 0 and solve for y
Term
 Define: Slope
Definition
 The number of units a nonvertical line rises or falls for each unit of horizontal change from left to right.
Term
 Why is slope often defined as rise/run?
Definition
 Because to find the slope you find the change in the vertical value (rise) divided by the change in the horizontal value (run)
Term
 What is the formula for the slope?
Definition
 [image]
Term
 What is the slope of a line that is vertical?
Definition
 undefined
Term
 Describe a line with a positive slope.
Definition
 rises from left to right
Term
 Describe a line with a negative slope.
Definition
 line falls from left to right
Term
 Describe the line with the equation y = 4
Definition
 it is a horizontal line with zero slope through the point 4
Term
 Describe the line with the equation x = -2
Definition
 It is a vertical line with an undefined slope through the point -2
Term
 How can you solve a one variable equation with a graph?
Definition
 graph it as if y = the equation and find the x-intercept
Term
 What do you need to write an equation of a line in y=mx+b form?
Definition
 slope and y-intercept
Term
 If you know the slope and one point on the line, how can you find b?
Definition
 Replace m in the equation y = mx + b and use the point in x and y temporily to find b.
Term
 How can you determine if two lines are parallel?
Definition
 They have the same slope
Term
 How can you determine if two lines are perpendicular?
Definition
 If you multiple their slope it equals -1. or the slope are opposite recipricals of each other
Term
 Name an equation of a line that is perpendicular to x = 3
Definition
 y = any number
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