8f2 Worksheets

8f2

• Compare the rate of change of a function shown as a graph versus one shown as a table
• Determine which function has the greater rate of change
• Find the slope from a graph by reading the rise and run between plotted points

8f2

• Draw a straight line on a graph when you are given its rate of change (slope).
• Use rise and run to plot points and keep the line going in the correct direction.
• Tell whether a line has a positive or negative slope by how it moves left to right.

8f2

• Practice finding the rate of change (slope) from a description of how x and y increase or decrease together
• Write the slope as a fraction using the change in y over the change in x
• Determine the correct sign (positive or negative) based on whether x and y are increasing or decreasing

8f2

• Practice finding the rate of change by plugging x values into an equation and seeing how y changes each time
• Fill in a table of x and y values, then calculate the difference between consecutive y values to find the rate of change
• Work with equations written in different forms and simplify them to spot a constant rate of change

8f2

• Read points from a graph and use them to find how much y changes when x changes.
• Find the rate of change by counting the rise and run between two points on a line.
• Tell whether a line shows a positive, negative, or zero rate of change.

8f2

• Find the rate of change (slope) from a linear equation written as y = mx + b.
• Tell whether the rate of change is positive, negative, zero, or not a whole number by looking at the slope.
• Identify the y-intercept in slope-intercept form and explain what it means as a starting value.
• Compare two equations by deciding which one changes faster based on their slopes.

8f2

• Practice finding the rate of change from a table by calculating how much y changes for each unit change in x
• Use the formula (change in y) ÷ (change in x) between pairs of values in the table
• Work with tables that include negative numbers and values that aren't evenly spaced

8f2

• Find the y-intercept from an equation by spotting the constant term.
• Read the y-intercept directly from slope-intercept form (y = mx + b).
• Rewrite an equation into y = mx + b form so the y-intercept is easy to see.

8f2

• Find the y-intercept on a graph by locating where the line crosses the y-axis.
• Read the y-value at x = 0 and write it as an ordered pair (0, y).
• Use the graph’s scale and tick marks to get the correct y-intercept value, including negatives.
• Tell the difference between the y-intercept and other points where the line crosses the x-axis.

8f2

• Practice finding the y-intercept from a table by determining the value of y when x equals 0
• Use the given equation to calculate y at x = 0 when that row isn't directly in the table
• Work with different types of equations including simple, multi-step, and those involving multiplication and subtraction