Graphing Linear Relationships and Solving Problems using Slope-Intercept Form

This video tutorial teaches how to solve problems involving linear relationships by writing them in slope-intercept form. It explains the concepts of slope and Y-intercept, using examples and a real-world problem involving a hot air balloon. The tutorial also addresses common misconceptions about linear functions and provides a step-by-step guide to solving equations and graphing them.

What is the slope-intercept form of a linear equation?

• y = mx + b

• y = ax^2 + bx + c

• y = a/x + b

• y = mx^2 + b

If a line has a slope of 2/3 and a y-intercept of -2, what is the equation of the line?

• y = 2/3x + 2

• y = -2/3x - 2

• y = 2/3x - 2

• y = -2/3x + 2

What is a common mistake students make when dealing with linear functions?

• Forgetting to include the y-intercept

• Using the wrong variable for the slope

• Assuming all linear functions have positive slopes

• Not plotting enough points on the graph

In the hot air balloon problem, what is the slope of the equation?

• 50

• 10

• 500

• 620

How high will the hot air balloon be after 10 minutes?

• 500 feet

• 620 feet

• 1000 feet

• 1500 feet