Finding Slope and Rate of Change from Various Representations

What is the primary focus of Unit 3a?

• Properties of quadratic functions

• Properties of linear functions

• Introduction to calculus

• Graphing exponential functions

What does the slope represent in linear functions?

• Maximum value of the function

• Rate of change

• Intercept on the y-axis

• Initial value

How do you correct the formula for finding the slope from two points?

• Correct y2 - y1 to y1 - y2 in the numerator

• Change y2 - y1 to y1 - y2

• Change x2 to x1 in the denominator

• Change y1 to y2 in the numerator

Which formula correction was emphasized in the lesson?

• y2 - y1 divided by x2 - x1

• x2 - x1 divided by y2 - y1

• x1 - x2 divided by y1 - y2

• y1 - y2 divided by x1 - x2

What is the correct method to find the slope from a graph?

• Use the rise over run method

• Plot new points until a line forms

• Count the grid squares between points

• Calculate the area under the curve

What should you ensure when selecting points from a graph to find the slope?

• Any points can be used regardless of their values

• Select only the highest and lowest points

• Choose points with whole number coordinates

• Choose points with decimal values

What indicates a positive slope when using the rise over run method?

• Moving left on the graph

• Moving down on the graph

• Moving up on the graph

• Staying at the same level on the graph

How do you find the slope from a table?

• Subtract the smallest y value from the largest

• Add all the y values and divide by the number of points

• Divide the change in y by the change in x

• Multiply the x values by the y values

What type of slope does a horizontal line represent?

• Undefined slope

• Zero slope

• Negative slope

• Positive slope

What does an undefined slope typically involve?

• A line that passes through the origin

• A vertical line

• A horizontal line

• A line with a slope of 1