Show:
The Cartesian Coordinate System
Linear and Nonlinear Relationships
Substitution
Slope
100

Which quadrant is the point (-2, 7) in?

II

100

True or False:

A linear relationship has a graph that is a straight line.

True

100

If y=2x+3, then what is the y-value when x=1?

5

100

True or False:

Slope equals "run over rise."

False!

Slope equals "rise over run."

200

Which axis is the vertical axis, the x-axis or the y-axis?

y-axis

200

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.

200

If y=3x-4, then what is the y-value when x=4?

8

200

If the slope is +3, then is the line increasing or decreasing as you go from left to right?

Increasing

300

What is the word name we give to the point (0,0)?

the origin

300

True or False:

Any linear relationship graphed on a Cartesian coordinate system must cross at least one of the axes.

True

300

If y=-2x+2, then what is the y-value when x=6

-10

300

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

400

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.

400

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

400

If y=-3x-2, then what is the y-value when x=-2?

4

400

If a line is going down as you go from left to right, then is the slope positive or negative?

negative

500

What point is the reflection of (1,4) across the x-axis?

(1,-4)

500

True or False:

The following equation/pattern rule is for a linear relationship between x and y:

y=x2+4



False

500

If y=0.5x+4, then what is the y-value when x=10?

9

500

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.