Graphing Linear Equations Concepts

This video tutorial covers graphing linear equations in slope-intercept form. It explains the concepts of x-intercept and y-intercept, and how to identify them from equations. The tutorial includes examples of finding slope and y-intercept, graphing equations, and interpreting the slope and y-intercept in real-world contexts, such as a taxi fare scenario.

What is the primary goal of this lesson on graphing linear equations?

• To learn about exponential growth

• To understand polynomial functions

• To graph linear equations in slope-intercept form

• To solve quadratic equations

What is the x-intercept of a line?

• The slope of the line

• The point where the line crosses the origin

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

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

In the equation y = mx + b, what does 'm' represent?

• The y-intercept

• The x-intercept

• The slope of the line

• The constant term

Given the equation y = -4x - 2, what is the slope?

• -2

• -4

• 2

• 4

How can you convert the equation y - 5 = 3/2x to slope-intercept form?

• Subtract 5 from both sides

• Multiply both sides by 2

• Divide both sides by 3

• Add 5 to both sides

What is the x-intercept of the equation y = -3x + 3?

• (0, 3)

• (0, -3)

• (1, 0)

• (3, 0)

In the taxi fare equation y = 2.5x + 2, what does the y-intercept represent?

• The distance traveled

• The cost per mile

• The total cost for 10 miles

• The initial cost to enter the taxi

What does the slope of 2.5 in the taxi fare equation indicate?

• The distance in kilometers

• The total cost for 5 miles

• The initial fare

• The cost per mile