Slope and Scale Factor Review

Multiple Choice

Dilate point (3, 7) with a scale factor of 4.

• (-1, 3)

• (7, 11)

• (12, 28)

• (28, 12)

Multiple Choice

The two rectangles are scale drawings. What is the measurement of x?

• 21
• 1.25
• 20
• 4

Multiple Choice

• 0.25
• 0.5
• 2
• 1/2

Multiple Choice

What is the scale factor from ΔDEF to ΔABC?

(WARNING! We're going from the big one

to the little one

so, we're making it smaller!)

• 1/2
• 7/3
• 2
• 10/3

​Finding Slope is

Just like Scale Factor

-You Divide to find it.

(Y numbers divided by X numbers)​

-You Multiply when you use it​

(old point time slope equals new point)​

​Okay!

let us find the X and Y numbers

then divide

to find the Slope​

​2nd Point:

0 on the X line;

4 on the y line

(0,4)​

​

​

​

​

​

​1st Point:

-1 on the X line;

2 on the y line

(-1, 2)

​To get from the 1st point

to the 2nd point

I have to go...

Y: Up 2

​X: Right 1

Slope = 2 divided by 1​

​

Multiple Choice

What is the slope shown in the graph?

The two points are (0,-2) and (3,-1)

• -1/3 or -.33333

• 1/3 or .333333

• 3

• -3

Multiple Choice

Find the slope of the line.

(Look at the Y line first, then the X line)

WARNING!

The line is going Down, so it will be Negative

• 3/4

• -3/4

• -4/3

• 4/3

Multiple Choice

Find the slope

Look at the Y line first, "How far up and down?"

then the X line "How far to the right?")

• $$\frac{2}{1}$$  (or 2)

• $$\frac{-2}{1}$$  (or -2)

• $$\frac{1}{2}$$  (or 0.5)

• $$\frac{-1}{2}$$  (or -0.5)

Multiple Choice

Find the slope

(remember: rise on the Y line

__________________________

divided by run on the X line)

• $$\frac{1}{3}$$  (or 0.333)

• $$\frac{3}{1}$$  (or 3)

• $$\frac{-3}{1}$$   (or -3)

• $$\frac{-1}{3}$$  (or -0.333)

Multiple Choice

6) Find the slope of the line

• -5/4

• 5/4

• -4/5

• 4/5

​NOW!

Let us try doing it just with the X and Y numbers. Since we are not looking at a graph we are just looking at how much the number changed.

REMEMBER:

Y numbers ("How far did it go up or down?​")

Divided by

X number ("How far did that number go up or down?")​

Multiple Choice

What is the 1st step when finding the slope from a table?

• Find the pattern

  in the X-values

  (change in x)

• Find the pattern

  in the y-values

  (change in y)

• Divide by writing the fraction as

  $$\frac{y\ pattern}{x\ pattern}$$  

Multiple Choice

What is the 2nd step when finding the slope from a table?

• Find the pattern

  in the X-values

  (change in X)

• Find the pattern

  in the Y-values

  (change in Y)

• Divide by

  Writing the fraction as $$\frac{y\ pattern}{x\ pattern}$$  

Multiple Choice

What is the 3rd step when finding the slope from a table?

• Find the pattern

  in the X-values

  (change in X)

• Find the pattern

  in the Y-values

  (change in Y)

• Divide by

  Writing the fraction as $$\frac{y\ pattern}{x\ pattern}$$  

Multiple Choice

What is the pattern in the y-values (change in y)?

• 0

• 4

• 2

• 3

Multiple Choice

What is the pattern in the x-values (change in y)?

• 0

• 4

• 2

• 3

Multiple Choice

What is the slope of the table?

• $$\frac{4}{2}$$  (or 2)

• $$\frac{0}{4}$$  (or 0)

• $$\frac{3}{2}$$  (or 1.5)

• $$\frac{2}{3}$$  (or 0.667)

Multiple Choice

What is the slope of the table?

• $$\frac{2}{1}$$  (or 2)

• $$\frac{1}{3}$$  (or 0.333)

• $$\frac{5}{1}$$   (or 5)

• $$\frac{3}{1}$$  (or 3)

Multiple Choice

What is the slope of the table?

• $$\frac{5}{4}$$  

• $$\frac{0}{3}$$  

• $$\frac{4}{5}$$  

• 5

Multiple Choice

What is the slope?

• 5
• 1/5
• 15
• 10

Multiple Choice

What is the slope of this table?

(The Y went up from 3 to 6. How much was that?)

__________________________________

(The X went up from 2 to 5. How much was that?)

• 3/3 (or 1)

• 2/3

• 3/4

• 3/6 (or 1/2)

Multiple Choice

What is the slope of the table?

(WARNING!!!!! The Y numbers are going down! So the answer should be negative!!)

• -3

• 13

• $$\frac{2}{3}$$  

• $$-\frac{3}{2}$$  

Multiple Choice

What does the slope $$\frac{1}{2}$$  mean?

(Hint it is $$\frac{Y}{X}$$  )

• Every time

  the Y goes up 1

  the X goes up 2

• Every time

  the X goes up 1

  the Y goes up 2

Multiple Choice

What does the slope $$\frac{3}{1}$$  (or 3) mean?

Remember: It is $$\frac{Y}{X}$$  

• Every time

  the Y goes up 1

  the X goes up 3

• Every time

  the Y goes up 3

  the X goes up 1

​Finding Equivalent Fractions will help us with SCALE FACTOR

Whatever you multiply one side, you've got to do it to the other sides.​

Multiple Choice

Fill in the missing number to form an equivalent fraction.

• 2

• 3

• 4

• 5

Multiple Choice

Fill in the missing number to form an equivalent fraction.

• 3

• 5

• 8

• 10

Fill in the Blanks

Fill in the missing number to form an equivalent fraction.

Multiple Choice

• 4
• 12

Multiple Choice

Which is NOT an equivalent fraction to $$\frac{1}{2}$$  ?

• 2/4
• 2/3
• 4/8
• 3/6

Multiple Choice

Complete the equivalent fraction.

• 6
• 9
• 15
• 23

​Sometimes finding the slope

is as easy as

​simplifying a fraction by

writing a smaller fraction.

Multiple Choice

Simplify the fraction $$\frac{8}{10}$$  

• 2/3

• 4/5 

• 3/4

• 5/10

Multiple Choice

simplify this fraction 4∕8 to the lowest

• 2/4

• 1/2

Multiple Choice

Simplify 6/8

• 1/2
• 3/4

• 1/4

• 1/3

Multiple Choice

Reduce 4/12  to lowest terms.

• 8/12

• 2/6

• 1/3

Multiple Choice

This triangle is 4 feet tall and 10 feet wide.

What is the slope in the SIMPLEST FORM

• 1/2

• 2/3

• 2/5

• 2/7

Multiple Select

Things that you will do on the test tomorrow...

• I will figure out the scale factor or slope by dividing.

• I will use the scale factor or slope by multiplying.

• I will remember that triangles have 180 degrees, and you need to know at least 2 of the angles to figure out the third one.

• I will do my best, ask questions, and take my time.