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."
What is the equation of a line whose slope is 2 and whose y-intercept is -3?
y=2x-3
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
Tell me the equation of a line that:
-has a slope of 2
-crosses the x-axis at -2
-crosses the y-axis at 4
y=2x+4
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
What is the y-intercept of a line whose equation is
y=-4x+2 ?
2
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
Which of the following lines has the steepest slope?
a) y=-5x+2
b) y=2x+8
c) y=3x+9
a) y=-5x+2
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.
Which of the following lines crosses the y-axis at the lowest point?
a) y=2x-4
b) y=-10x-3
c) y=20x+2
a) y=2x-4