Linear Representations
Slope and Y-Intercepts
Graphs
Writing Linear Equations
Vocabulary
100
_____Create a table with the following xy values and determine if it is Linear or Non-Linear? x = -2, 0, 2, 4 y = 3, -1, -5, -9
What is linear?
100
Identify the slope and y-intercept in the following equation: y=5x - 3
What is m=5 and b=-3?
100
At what point does the x axis intercept the y axis and what is it called?
(0,0) the origin
100
__________Write the linear equation in slope-intercept form for the line with a slope of -3 and y intercept of 5
What is y=-3x + 5?
100
What is the variable used to designate slope and what is the fractional saying to go with it?
m and rise over run
200
Make a table, plot and label these points from the table on a graph and draw a line through them. x=(-2,0,2) y=(-1,0,1)
It should look like the graph of y=1/2x. Points must be labeled!
200
Identify the slope and y-intercept of y = -3/2x + 3/2
What is m=-3/2, b=3/2?
200
Draw a sketch of a line with a negative slope and a y intercept of 1.5 Don't forget to label your x and y axis!!!
What is a line slanting down from left to right that goes through 1.5 on the y axis?
200
________Write the the slope-intercept form of the equation of the line with a slope of -1 and a y intercept of 0
What is y=-x
200
What is the y intercept and what variable is used to designate it?
The point where a line crosses the y axis, b
300
______Write the Linear equation in slope-intercept form for this table of values x= 0, 2, 4, 6 y= -4, -1, 2, 5
What is y=(3/2)x - 4?
300
Find the slope of the line containing (3, 2) and (4, 3).
What is slope m=1?
300
Graph the line y=3x - 2. Label 2 points!
b=-2, then Rise over Run of 3 over one.
300
Write the linear equation of the line passing through (4, -5) and (0, -2).
What is y=-3/4x -2?
300
What is the name of the grid system we use for graphing?
Cartesian Coordinate system
400
Comcast charges an installation fee of $50 and an additional $30 a month. Make a table of values for the number of months and total cost from 0 to 3 months.
What is x=0, 1, 2, 3 and y=50, 80, 110, 140
400
Find the slope of a line containing (4, -4) and (8, 6)
What is 5/2?
400
Graph the line y=-(1/3)x + 1. Label 2 points!!
b=1, then a Rise over Run of -1/3 through the point (3, 0).
400
Write the linear equation in slope-intercept form for the line with a slope of 0 and contains the point (0, 7).
What is y=7
400
Write the name the two special lines and graph an example of each one.
y line, x line
500
The Junior class carnival charges an initial fee of $3 to enter and an additional $2 for each ride. What is the total cost for 11 rides?
What is $25?
500
What is the slope and y intercept of the following line: x = -4
m = undefined , no y intercept
500
Graph the following lines: y=7 , x=-2
horizontal line through 7 on the y axis, vertical line through -2 on the x axis
500
Write the linear equation of the line that passes through the points (5, 3) and (-2, -3)
What is y=(-6/7)x + ?
500
y = mx + b is also know as?
The slope intercept form of a linear equation