Slope

Question 1

What is the equation for slope?

Answer 1

m= rise

  run

*NO UNITS*

Example: rise/run

=5/9

=5/9

Question 2

Which way is the rise and which way is the run?

Answer 2

Right is the height and Run is the length

Question 3

What does a zero slope look like?

Answer 3

Question 4

What does an undefined slope look like?

Answer 4

Question 5

What does a positive slope look like?

Answer 5

Question 6

What does a negative slope look like?

Answer 6

Question 7

What is the equation to find the rise and run of a slope on a graph?

Answer 7

y2-y1

x2-x1

Question 8

In a slope fraction which number represents y and x?

Answer 8

Top= y

Bottom= x

Question 9

Review what the equation y=mx+b means

Answer 9

Question 10

What is a Frst Difference or Delta Y coloumn?

Answer 10

A column on your table of values that tells the dfference between one number to the next. This helps you to see patterns

Example: from 3 to 5 the first difference is 2

Question 11

If the first differnce is the same throughout what will your graph look like?

Answer 11

A straight line (Linear Realationship)

Question 12

If your first difference is different throughout what will your graph look like?

Answer 12

A curved line

(Non-Linear)

Question 13

What is Direct Variation?

Answer 13

When a line passes through the origin (0,0)

Question 14

What is the equation for the constant of variation?

Answer 14

y= kx

Example: Fred earns $5 an hour

The constant of variation is 5

Question 15

What is Constant of Variation?

Answer 15

The thing in the equation that can change based on other factors

Example: Money earned derpending on the number of hours you have worked

Question 16

What is * Partial Variation?*

Answer 16

A line when graphed is straight but doesnt cross through the origin

Question 17

What are the steps taken to put a y=mx+b equation into standard form (Ax+ By+C=0)?

Answer 17

Example: y= 2x-3

Step 1) Move all terms to the left side *Electric Fence

-2x+y+3=0

Step 2) Get rid of any fractions or decimals

Step 3) Ensure A is positive (x-1)

2x-y-3=0

*Remember the equation should go X- Y - Number*

Question 18

Intercepts:

What are intercepts?

Answer 18

Where a line crosses through the x or y axis

Question 19

Intercepts:

What steps do you take to find the x and y intercepts of a line?

Answer 19

Example: y= x+6

Substitute your variables and solve, making sure your 0 and the intercept you were trying to find are in the right order. Graph your points.

X Intercept Y Intercept

y=0 x=0

y=x+6 y=x+6

0=x+6 y=0+6

-6=x y=6

(-6,0) (0,6)

Question 20

What are Parallel lines?

Answer 20

2 lines that never cross and remain the same distance apart

Question 21

What are Perpendicular Lines?

Answer 21

2 lines that intersect at a right angle (90º)

Question 22

What is a linear system?

Answer 22

A set of two or more linear equations that are considered at the same time

Question 23

Review “Direct Variation”

Question 24

Review “Partial Variation”

Question 25

Review “y=mx+b, What Does It Mean?”

Question 26

Review “Linear Systems”

Question 27

Review “Finding Equations Given Two Points” and “Finding Equations Given Slope and One Point”