Understanding Linear Functions and Graphs

The video tutorial explains how to use information from a table to graph a linear relationship and write an equation in slope-intercept form. It covers the steps to graph ordered pairs, find the slope and y-intercept, and write the equation. An example problem involving a bakery gift card is solved, demonstrating the process. The use of vertical tables to identify ordered pairs is discussed, and a temperature conversion example from Celsius to Fahrenheit is provided. The lesson concludes with a summary and introduction to the next part.

What is the first step in graphing from a table to write an equation?

• Draw a line through the points

• Calculate the slope

• Graph the ordered pairs

• Find the y-intercept

Which form is used to write an equation from a table?

• Quadratic form

• Point-slope form

• Slope-intercept form

• Standard form

What do you need to find after graphing the ordered pairs?

• The slope

• The midpoint

• The x-intercept

• The vertex

What is the purpose of drawing a line through the points on a graph?

• To visualize the linear relationship

• To determine the slope

• To find the x-intercept

• To calculate the y-intercept

How do you determine the slope from a graph?

• By measuring the angle of the line

• By counting the number of points

• By finding the y-intercept

• By calculating the difference in y-values over x-values

What is the significance of the slope in a linear equation?

• It shows the starting value

• It indicates the rate of change

• It determines the y-intercept

• It represents the x-intercept

How do you find the y-intercept from a graph?

• By identifying where the line crosses the x-axis

• By calculating the slope

• By finding where the line crosses the y-axis

• By measuring the angle of the line

In the bakery gift card example, what is the initial amount on the card?

• $6

• $2

• $8

• $10

What is the slope of the line in the bakery gift card example?

• 1

• -1

• 2

• -2

In the bakery gift card example, what happens to the balance as more muffins are bought?

• It increases

• It fluctuates

• It remains the same

• It decreases