Exploring Slope-Intercept Form and Proportional Relationships

This video tutorial covers linear relationships, focusing on slope-intercept form. It explains how to find the slope and y-intercept from graphs and tables, solve word problems using linear equations, and understand proportional relationships. The tutorial also demonstrates solving systems of equations using graphs.

What does the 'm' in the slope-intercept form represent?

• The maximum value of y

• The slope of the line

• The x-intercept

• The y-intercept

What is the y-intercept in the slope-intercept form equation?

• The maximum value of x

• The slope of the line

• The x-coordinate where the line crosses the y-axis

• The y-coordinate where the line crosses the y-axis

How do you find the slope in a table?

• Dividing y2 by y1 and multiplying by x2 over x1

• Subtracting y2 from y1 and dividing by x2 minus x1

• Multiplying y2 by y1 and dividing by x2 times x1

• Adding y2 to y1 and dividing by x2 plus x1

What is the total cost equation for P pounds of strawberries and three cups of ice cream?

• C = 3P + 5

• C = 4P + 5

• C = 3P + 15

• C = 4P + 15

What indicates a proportional relationship in a graph?

• A line that passes through the origin

• A line with a negative slope

• A line that does not pass through the origin

• A curved line

How is a non-proportional relationship identified in a graph?

• A horizontal line

• A vertical line

• A line not passing through the origin

• A line passing through the origin

What does the equation y = 3x + 5 represent?

• A constant relationship

• An undefined relationship

• A proportional relationship

• A non-proportional relationship

What is the cost for using 7,500 gallons of water?

• $17.63

• $21.15

• $19.75

• $15.86

What is the slope of the line in the graph for Banquet Hall 1?

• 30

• 25

• 100

• 50

At what point do the costs for both banquet halls become equal?

• 20 people, $600

• 25 people, $650

• 30 people, $900

• 15 people, $450