Understanding Slope and Desmos Functions

The video tutorial explains how to determine the slope of a line passing through two points. It covers two methods: using scratch paper to create a table and calculate the change in Y over the change in X, and using the Desmos calculator for a more efficient approach. The tutorial provides a step-by-step guide on inputting coordinates into Desmos, using the slope-intercept form, and converting decimal slopes to fractions. It emphasizes the importance of matching table entries and offers tips for accurate calculations.

What is the first step in determining the slope of a line through two points?

• Find the midpoint of the line

• Draw a perpendicular bisector

• Identify the coordinates of the points

• Calculate the distance between the points

When using scratch paper, what should you create to help find the slope?

• A list of equations

• A table with x and y values

• A graph

• A flowchart

What is the advantage of using Desmos for calculating the slope?

• It automatically calculates the midpoint

• It offers multiple methods for calculation

• It provides a visual representation

• It simplifies the process during a test

In Desmos, what should you do after creating a table with coordinates?

• Draw a line through the points

• Find the midpoint of the line

• Type y1 = mx1 + b

• Calculate the distance between points

What does 'm' represent in the equation y1 = mx1 + b?

• The midpoint

• The y-intercept

• The x-intercept

• The slope

What should you ensure when typing the slope-intercept form in Desmos?

• Use the correct variables

• Match the ones in the table

• Include the y-intercept

• Use capital letters

What might be the reason if the answer is not appearing in Desmos?

• Wrong equation

• Mismatched variables

• Incorrect coordinates

• Decimal value of slope

If the slope 'm' is a decimal, what can you do in Desmos to convert it?

• Click the fraction symbol

• Divide by 2

• Round to the nearest whole number

• Multiply by 100

What is the final step after converting a decimal slope to a fraction in Desmos?

• Save the table

• Re-enter the coordinates

• Verify the fraction

• Recalculate the slope