Graphing Lines and Inequalities

Mr. Buffington introduces graphing inequalities, starting with graphing lines using the slope-intercept form. He explains how to identify the y-intercept and slope to draw lines. The lesson then shifts to graphing inequalities, focusing on identifying y-intercepts, slopes, and shading areas based on inequality symbols. The video concludes with exercises on matching graphs to inequalities by analyzing these features.

What is the first step in graphing a line using the slope-intercept form?

• Draw the x-axis

• Identify the y-intercept

• Identify the slope

• Shade the area above the line

In the equation y = x - 2, what is the slope?

• 0

• 1

• -2

• 2

How do you determine the y-intercept in the equation y = -2x?

• It is zero if no constant is present

• It is the coefficient of x

• It is the constant term

• It is the slope

What does a dotted line represent in graphing inequalities?

• Less than or equal to

• Equal to

• Greater than or equal to

• Greater than or less than

When graphing y < 1/2x + 2, where should the shading be?

• Below the line

• No shading is needed

• On the line

• Above the line

If two inequalities have the same slope, what should you check next?

• The color of the line

• The type of line (dotted or solid)

• The y-intercept

• The x-intercept

In the inequality y > 1/2x + 2, what does the '>' symbol indicate about shading?

• Shade on the line

• No shading is required

• Shade above the line

• Shade below the line

What is the y-intercept of the equation y = 1/2x + 1?

• 0

• 1

• 1/2

• 2

Which inequality matches a graph with a y-intercept of 0 and shading above the line?

• y < 1/2x

• y > 1/2x

• y = 1/2x

• y ≤ 1/2x

What should you do if the inequality symbol is 'greater than'?

• Shade below the line

• Shade above the line

• Draw a solid line

• Draw a dotted line