Direct Variation
What type of relationship is represented by the equation y=7x?
A Direct Variation
What is the slope of a horizontal line?
0
What happens to the graph of y=x when it becomes y=x+4?
It is translated up 4 units.
True or False: When the scale factor is more than 1, the figure gets smaller.
False.
What is 5+37?
42
In the equation y=kx, what is the name of the constant k?
The constant of variation.
What is the slope of a vertical line?
Undefined
What is the new equation if y=−2x is shifted down 3 units?
y=-2x-3
True or False: When the scale factor is less than 1, it makes the figure bigger.
True
What is 3 x 7?
21
If y=12 when x=3 in a direct variation, what is the value of k?
k=4
What is the slope between the points (1, 2) and (4, 8)?
2
Do vertical translations affect the slope of a line?
No, they do not affect the slope.
What is the formula to find the scale factor?
new side/old side
What is 64/2 ?
32
Does the graph of a direct variation pass through the origin?
Yes, it always passes through the origin.
What is the slope in the equation y=−3x+5?
-3
If y=5x+2 is translated up 6 units, what is the new y-intercept?
8
If one side of my "old" triangle is 2, and the "new" side of the triangle is 6, what is the scale factor?
6/2=
=3
Say the names of 10 of your classmates.
...
Which equation is not a direct variation:
y=5x
y=−2x
y=3x+1
or y=0.5x?
y=3x+1
A line rises 6 units for every 2 units it runs. What is its slope?
3
What transformation occurs when y=4x+1 becomes y=4x−5?
A vertical translation down 6 units.
True or False: A dilation of a figure is a transformation that resizes the figure by a certain scale factor, while keeping its shape the same and maintaining the proportional relationships between its sides and angles.
True
x-axis and y-axis