Writing Equations in Slope-Intercept Form from Tables

This video tutorial explains how to write an equation in slope-intercept form using a table of values. It covers the concepts of slope and y-intercept, provides step-by-step examples, and demonstrates how to graph the equation to verify accuracy. The tutorial emphasizes the importance of finding a constant rate of change and using it to determine the slope and y-intercept.

What does the slope in an equation represent?

• The y-intercept of the line

• The steepness or rate of change of the line

• The x-intercept of the line

• The maximum value of y

What is the formula for slope-intercept form?

• b = mx + y

• y = b + mx

• y = mx + b

• mx = y + b

How do you find the slope from a table of values?

• Average of x values minus average of y values

• Change in x over change in y

• Change in y over change in x

• Sum of y values divided by sum of x values

What is the y-intercept in the first example?

• 0

• 15

• 5

• -5

What does the y-intercept represent in an equation?

• The slope of the line

• Where the graph crosses the y-axis

• Where the graph crosses the x-axis

• The maximum value of x

In the second example, what is the slope of the equation?

• -3/2

• 3/2

• 2

• 3

How is the y-intercept found in the second example?

• By subtracting 3 from the y-value when x=0

• By using the slope to calculate backwards

• By adding 3 to the y-value when x=0

• By finding where x=0 in the table

What is the final equation in the second example?

• y = 3/2x + 5

• y = 2/3x + 5

• y = 3x + 5

• y = 5x + 3/2

How can you verify if your graphed equation is correct?

• By calculating the area under the curve

• By measuring the slope with a ruler

• By ensuring all points from the table are on the graphed line

• By checking if the x-intercepts match

What is the purpose of graphing the equation?

• To find the x-intercept

• To check the accuracy of the equation

• To calculate the total area

• To determine the maximum y-value