The Cartesian Coordinate System
Which quadrant is the point (-2, 7) in?
II
True or False:
A linear relationship has a graph that is a straight line.
True
If y=2x+3, then what is the y-value when x=1?
5
True or False:
Slope equals "run over rise."
False!
Slope equals "rise over run."
Which axis is the vertical axis, the x-axis or the y-axis?
y-axis
True or False:
For linear relationships, when you look at the data in a table of values, the y-values must be increasing by the same number for each change of +1 in the x-values.
False!
The y-values could be decreasing by the same number for each change of +1 in the x-values.
If y=3x-4, then what is the y-value when x=4?
8
If the slope is +3, then is the line increasing or decreasing as you go from left to right?
Increasing
What is the word name we give to the point (0,0)?
the origin
True or False:
Any linear relationship graphed on a Cartesian coordinate system must cross at least one of the axes.
True
If y=-2x+2, then what is the y-value when x=6
-10
If the slope of a line is +2 and the line crosses the y-axis below the x-axis, then where will it cross the x-axis: on the negative side of the x-axis or on the positive side of the x-axis?
On the positive side of the x-axis
True or False:
the right side of the x-axis and the bottom of the y-axis include all the positive numbers.
False
The bottom of the y-axis does not contain positive numbers.
Is the relationship between the drawing number and the number of o in the sequence of drawings below a linear relationship?
#1 #2 #3 #4
ooo oooo ooooo oooooo
ooo oooo ooooo oooooo
Yes
If y=-3x-2, then what is the y-value when x=-2?
4
If a line is going down as you go from left to right, then is the slope positive or negative?
negative
What point is the reflection of (1,4) across the x-axis?
(1,-4)
True or False:
The following equation/pattern rule is for a linear relationship between x and y:
y=x2+4
False
If y=0.5x+4, then what is the y-value when x=10?
9
Line A has a slope of 2.
Line B has a slope of -3.
Which line has a steeper slope? Line A or Line B?
Line B.
A slope of -3 is more steep than a slope of 2.