Writing Linear Equations from Graphs in Slope-Intercept Form

The video tutorial explains how to write equations in slope-intercept form (y=mx+b) from graphs, including special cases like horizontal and vertical lines. It introduces the HOY VUX acronym to remember characteristics of these lines. The tutorial provides examples of writing equations for lines with positive, negative, zero, and undefined slopes, emphasizing the importance of identifying the slope and y-intercept from graphs.

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

• Y-intercept

• X-intercept

• Rise over run

• Slope

What is the slope of a horizontal line?

• -1

• 1

• Undefined

• 0

How is the slope of a line calculated?

• Y-intercept over x-intercept

• X-intercept over y-intercept

• Run over rise

• Rise over run

What form does a vertical line's equation take?

• x = a constant

• y = a constant

• y = mx + b

• Undefined

What is the equation of a line with a slope of 2 passing through the origin?

• y = x + 2

• y = 2x

• y = 2x + 2

• x = 2y

What does an undefined slope indicate?

• Horizontal line

• Positive slope

• Negative slope

• Vertical line

If a line crosses the y-axis at -2 and has a slope of -2/3, what is its equation?

• y = -2/3x - 2

• y = -2/3x + 2

• y = 2/3x - 2

• y = 3/2x - 2

For a line with a positive slope of 4/3 and a y-intercept of -8, what is the correct equation?

• y = -4/3x - 8

• y = 4/3x + 8

• y = 3/4x - 8

• y = 4/3x - 8

What is the slope of a line that is parallel to the x-axis?

• -1

• 0

• 1

• Undefined

What is the equation for a horizontal line that intersects the y-axis at 30?

• y = x + 30

• y = 0x + 30

• y = 30

• x = 30