Graphing Inequalities and Intercepts

The video tutorial explains how to graph inequalities by first understanding how to graph equations. It covers converting equations to standard form, finding x and y intercepts, and plotting them. The tutorial highlights the differences between graphing equations and inequalities, focusing on shading and line types. It concludes with a demonstration of using test points to determine shading and solid or dashed lines.

What is the first step in graphing inequalities?

• Identify the inequality sign

• Find the slope

• Determine the shading

• Graph the equation

Which form is used to easily convert an equation for graphing?

• Slope-intercept form

• Vertex form

• Standard form

• Quadratic form

What is the standard form of an equation?

• x^2 + y^2 = r^2

• a(x - h)^2 + k

• ax + by = c

• y = mx + b

How do you find the x-intercept of an equation?

• Set y to zero

• Set x to zero

• Find the slope

• Use the quadratic formula

How do you find the y-intercept of an equation?

• Use the quadratic formula

• Find the slope

• Set x to zero

• Set y to zero

What is the result of 9x + 3y = 6 when x = 0?

• y = 2

• y = 6

• y = 0

• y = 3

What is the result of 9x + 3y = 6 when y = 0?

• x = 0

• x = 2

• x = 2/3

• x = 3

What is the purpose of finding intercepts in graphing?

• To determine the slope

• To find the vertex

• To plot points for the line

• To calculate the area

What is the difference between graphing an equation and an inequality?

• The formula used

• The line type and shading

• The slope changes

• The intercepts change

What type of line is used for 'greater than or equal to' inequalities?

• No line

• Curved line

• Solid line

• Dashed line