Graphing a Line Using Slope-Intercept Form

This video tutorial explains how to graph a line using the slope-intercept form, y = mx + b. It covers identifying the y-intercept and slope from the equation y = -2/3x - 5. The tutorial demonstrates how to plot the y-intercept and use the slope to find additional points on the line. The video concludes with a practical example of graphing the line by moving down two units and right three units from the y-intercept.

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

• y = mx - b

• y = bx + m

• y = mx + b

• y = ax + b

In the equation y = -2/3x - 5, what does the -5 represent?

• The origin

• The slope of the line

• The x-intercept

• The y-intercept

How can the y-intercept be identified in the equation y = mx + b?

• It is the variable y

• It is the slope

• It is the constant term

• It is the coefficient of x

What is the slope in the equation y = -2/3x - 5?

• 5

• -5

• 2/3

• -2/3

How should a negative slope be written to help with graphing?

• With the negative sign in the denominator

• As a positive fraction

• As a decimal

• With the negative sign in the numerator

What does the slope -2/3 indicate about the line's movement?

• Down 2 units, right 3 units

• Up 2 units, left 3 units

• Down 3 units, left 2 units

• Up 3 units, right 2 units

When graphing, what is the first point you should plot?

• The x-intercept

• The origin

• The y-intercept

• Any random point

After plotting the y-intercept, how do you use the slope to find another point?

• Move down and left according to the slope

• Move up and right according to the slope

• Move down and right according to the slope

• Move up and left according to the slope

What is the 'rise' in the slope -2/3?

• -2

• 3

• -3

• 2

What is the 'run' in the slope -2/3?

• 3

• -3

• -2

• 2