Finding Slope and Rate of Change Mastery

What is the definition of slope?

• The sum of the x-values

• The difference between two points

• A ratio of vertical change to horizontal change

• A ratio of horizontal change to vertical change

Which of the following is NOT a way to think about slope?

• Change in Y over change in X

• Mathematical formula

• Rise over run

• Sum of x-values over sum of y-values

When calculating slope using rise over run, what does a negative value indicate?

• The line is horizontal

• The line is vertical

• The line is increasing

• The line is decreasing

If a line goes up 3 units and over 2 units, what is the slope?

• 2/3

• 2/1

• 1/2

• 3/2

What is the slope formula?

• (x1 - x2) / (y1 - y2)

• (y1 - y2) / (x1 - x2)

• (x2 - x1) / (y2 - y1)

• (y2 - y1) / (x2 - x1)

How do you handle subtracting a negative value in the slope formula?

• Multiply by -1

• Change subtraction to addition

• Ignore the negative sign

• Subtract as usual

What does an undefined slope indicate?

• A line with zero steepness

• A vertical line

• A line with positive steepness

• A horizontal line

What is the slope of a horizontal line?

• Undefined

• Negative

• Zero

• Positive

How is rate of change different from slope?

• Rate of change is only used in science

• Rate of change is the same as the sum of x-values

• Rate of change compares any two quantities, not just vertical and horizontal changes

• Rate of change is always positive

If the cost of renting a paddleboat increases by $7 for every 2 hours, what is the rate of change?

• 0.5

• 3.5

• 7/2

• 2/7