Understanding Slope-Intercept Form

The video tutorial explains how to graph linear equations in slope-intercept form, Y = MX + B. It covers the definition of slope and y-intercept, and how these parameters affect the graph of a line. Through animations and examples, the tutorial demonstrates how to identify and plot the slope and y-intercept to graph lines. It also includes a step-by-step conversion of a standard form equation to slope-intercept form, highlighting the ease of graphing using this method.

What does the 'm' represent in the equation y = mx + b?

• The slope of the line

• The constant term

• The y-intercept

• The x-intercept

How does increasing the value of 'm' affect the line?

• The line becomes less steep

• The line becomes steeper

• The y-intercept changes

• The line shifts horizontally

In the equation y = -2/3x + 1, what is the y-intercept?

• (0, -1)

• (1, 0)

• (0, 1)

• (0, -2/3)

For the equation y = 5x - 2, how is the slope expressed as a fraction?

• 2/5

• 5/1

• 1/5

• 5/2

What is the y-intercept of the line y = 5x - 2?

• (0, 5)

• (0, 2)

• (5, 0)

• (0, -2)

In the equation y = x, what is the slope?

• 0

• 1

• x

• -1

What is the first step in converting 3x - 2y = 8 to slope-intercept form?

• Divide by 3

• Add 3x to both sides

• Subtract 3x from both sides

• Multiply by 2

After converting 3x - 2y = 8 to slope-intercept form, what is the slope?

• 2/3

• -2/3

• -3/2

• 3/2

What is the y-intercept of the line after converting 3x - 2y = 8?

• (0, 4)

• (0, 8)

• (0, -4)

• (4, 0)

Why is the slope-intercept form considered popular?

• It is the most complex form

• It is the easiest to graph

• It is rarely used

• It has the most variables