the rate of change/the ratio of the rise to the run/ designated by the letter "m"/ difference of the y-coordinates over the difference over the x-coordinates
slope
100
a proportional relationship/y=mx/the ratio of two variable quantities is constant
direct variation
100
Is the ordered pair (5, 15) a solution for the equation
y=2x + 5?
yes
100
a function in which the graph of the solutions forms a straight line
linear function
200
a set of ordered pairs
A relation
200
the horizontal change between two points
run
200
The constant in direct variation
constant of variation
200
What is the slope of the line that passes through the two points (2,3) and (7,8)
1
200
a function that does not have a constant rate of change/ does not graph a straight line
nonlinear function
300
the set of all x-coordinates
domain
300
the vertical change between two points
rise
300
The rate of change between any two points in a linear relationship is the same/ a linear relationship has a ____
constant rate of change
300
Is the relation a function?
{(1,2),(7,8),(6,6),(5,4)}
yes
300
an equation that graphs a line/ the variables are to the first power/ the variable cannot be in the denominator, under a radical sign, or in absolute value symbol
linear equation
400
the set of all the y-coordinates
range
400
the y-coordinate of the point where the line crosses the y-axis
y-intercept
400
since any value can be used, there is no space between data values/ graphs a solid line
continuous data
400
A car travels 200 miles in 2 hours. Assuming that the distance the car travels varies directly with the time, how far will the car travel in 3.5 hours?
350 miles
400
the variable for the range because it depends on the domain
dependent variable
500
the variable for the domain because it can be any number
independent variable
500
y=mx + b, where "m" is the slope and "b" is the y-intercept
slope-intercept form
500
there is space between the data values and is represented by dots
discrete data
500
Write an equation of a line in slope-intercept form that has two points (0,-1) and (2,3)
y=2x-1
500
is the following table a linear or nonlinear function?
x: 1, 2, 3, 4,
y: 3, 6, 9, 12