Graphing Lines in Slope-Intercept Form

The video tutorial explains the importance of graphing lines using the slope-intercept form, y = mx + b. It describes how the slope (m) and y-intercept (b) are used to plot lines on a graph. The tutorial provides examples of graphing lines and discusses how to rewrite equations into slope-intercept form for easier graphing.

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

• x-intercept

• Coefficient of y

• Slope of the line

• y-intercept

In the equation y = 3x - 5, what is the y-intercept?

• 5

• 0

• 3

• -5

How do you plot the first point when graphing y = 3x - 5?

• At (3, 0)

• At (0, 3)

• At (0, -5)

• At (-5, 0)

What is the slope in the equation y = -4/3x + 7?

• -4/3

• -7

• 7

• 4/3

Where does the line y = -4/3x + 7 intersect the y-axis?

• At (7, 0)

• At (0, -7)

• At (0, 7)

• At (-7, 0)

After plotting the y-intercept for y = -4/3x + 7, what is the next step?

• Move right 3 units and up 4 units

• Move right 4 units and down 3 units

• Move down 4 units and right 3 units

• Move up 7 units and right 2 units

What is the first step to adjust an equation to slope-intercept form?

• Subtract the x term from both sides

• Add the same value to both sides

• Isolate the y term on one side

• Divide all terms by the coefficient of y

In the adjusted equation y = 7/2x - 1, what is the slope?

• 7/2

• 7

• -7/2

• -1

What does the y-intercept indicate in a graph?

• The point where the line touches the x-axis

• The point where the line crosses the y-axis

• The slope of the line

• The maximum value of y

How do you find a second point on the line after plotting the y-intercept?

• Use the slope to move vertically and horizontally

• Only move along the y-axis

• Plot randomly based on the x-values

• Only move along the x-axis