Summary for graph a linear inequality

The video tutorial explains how to graph linear inequalities by treating them as equations, using slope-intercept and standard forms. It covers plotting points, using test points, and determining solution areas with solid or dashed lines. Tips for avoiding common mistakes and using slope triangles are also provided.

What is the first step when graphing a linear inequality in slope-intercept form?

• Plot random points

• Identify the y-intercept

• Draw a vertical line

• Identify the x-intercept

When dealing with inequalities in standard form, what method can be used to graph them?

• Slope method

• Intercept method

• Vertical line method

• Random plotting

What type of line is used for inequalities that include 'less than or equal to'?

• Dashed line

• Solid line

• No line

• Dotted line

Which point is recommended for testing which side of the line to shade?

• (1,1)

• (0,0)

• (3,3)

• (2,2)

What is a common mistake when identifying the slope from an equation in standard form?

• Using the constant term as the slope

• Using the coefficient of x as the slope

• Using the x-intercept as the slope

• Using the y-intercept as the slope

How should a negative slope be handled when graphing?

• Convert it to a positive slope

• Place the negative sign in either the numerator or denominator

• Place the negative sign in both numerator and denominator

• Ignore the negative sign

What is a common error when choosing test points for shading?

• Choosing points with large coordinates

• Choosing points with negative coordinates

• Choosing points on the line

• Choosing points far from the line