Graphing Lines from Equations: A Comprehensive Assessment

The video tutorial explains how to graph lines from equations by identifying key components such as the y-intercept and slope. It demonstrates graphing lines with positive, negative, and fractional slopes, emphasizing the rise over run concept. The tutorial provides examples to illustrate how changes in x affect y, and how to plot points using the slope-intercept form of a line equation.

What is the y-intercept of the line with the equation y = 1/3x + 4?

• 1/3

• 3

• 0

• 4

If x is 3 in the equation y = 1/3x + 4, what is the value of y?

• 5

• 6

• 3

• 4

What happens to the y-value when x increases by 3 in the equation y = 1/3x + 4?

• It stays the same

• It increases by 3

• It increases by 1

• It decreases by 1

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

• The slope

• The x-intercept

• The constant term

• The y-intercept

How do you graph a line with a slope of 1/3?

• Right 1, Up 3

• Right 1, Down 3

• Right 3, Down 1

• Right 3, Up 1

What is the slope of the line with the equation y = -3x - 1?

• -1

• 1

• -3

• 3

How do you graph a line with a slope of -3?

• Down 3, Right 1

• Up 3, Right 1

• Up 1, Right 3

• Down 1, Right 3

What is the y-intercept of the line with the equation y = -5/2x - 3?

• -2

• 2

• -3

• -5

How do you graph a line with a slope of -5/2?

• Down 2, Right 5

• Up 2, Right 5

• Up 5, Right 2

• Down 5, Right 2

What does a negative slope indicate about the direction of the line?

• It is vertical

• It is horizontal

• It is decreasing

• It is increasing