Exploring Slope-Intercept Equations

The video tutorial introduces the slope-intercept form of a line equation, y = mx + b, where m is the slope and b is the y-intercept. It explains how to identify these components and use them to write and graph equations. The tutorial includes examples of lines with positive, negative, horizontal, and vertical slopes, demonstrating how to substitute values into the equation and verify solutions. It also covers converting equations to slope-intercept form to facilitate graphing.

What is the general form of the slope-intercept equation?

• y = ax^2 + bx + c

• y = m + bx

• y = mx + b

• y = mx - b

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

• The y-intercept

• The slope

• The x-intercept

• The constant term

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

• y = -2x - 3

• y = 2x + 3

• y = -2x + 3

• y = 2x - 3

How do you determine the slope from a graph?

• By finding the y-intercept

• By drawing a slope triangle and calculating rise over run

• By finding the x-intercept

• By counting the number of grid lines

What is the y-intercept of a line that crosses the y-axis at (0, -2)?

• 2

• 1

• -2

• 0

What is the equation of a horizontal line that crosses the y-axis at 3?

• x = 0

• x = 3

• y = 0

• y = 3

What is the equation of a vertical line that crosses the x-axis at 4?

• x = 4

• y = 4

• x = 0

• y = 0

When graphing the equation y = -3x, where do you start?

• At the y-intercept, which is 0

• At the x-intercept, which is 0

• At the point (3, 0)

• At the point (0, -3)

How do you convert the equation 6y + 3x = 12 to slope-intercept form?

• Subtract 6y from both sides and divide by 3

• Subtract 3x from both sides and divide by 6

• Add 3x to both sides and divide by 6

• Add 6y to both sides and divide by 3

What is the slope of the line represented by the equation y = -2x + 2?

• -1

• 2

• -2

• 1