Graph a linear inequality in standard form

The video tutorial explains how to graph inequalities by first converting them into standard form and finding the x and y-intercepts. It highlights the similarities between graphing equations and inequalities, focusing on the differences in shading and line types. The tutorial demonstrates plotting points, connecting them to form a line, and using test points to determine shading for inequalities.

What is the standard form of a linear equation?

• x = my + b

• ax + by = c

• y = ax^2 + bx + c

• y = mx + b

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

• Set x to 0 and solve for y

• Set the equation equal to 1

• Set y to 0 and solve for x

• Set both x and y to 0

What is the y-intercept of the equation 9x + 3y = 6?

• (3, 0)

• (0, 3)

• (2, 0)

• (0, 2)

What determines if a line is solid or dashed when graphing inequalities?

• The slope of the line

• The intercepts of the line

• The color of the line

• The inequality symbol

Which test point is commonly used to determine shading for inequalities?

• (1, 1)

• (0, 0)

• (1, 0)

• (2, 2)

If the test point (0, 0) satisfies the inequality, where should you shade?

• Below the line

• To the left of the line

• To the right of the line

• Above the line

What is the result of testing the point (0, 0) in the inequality 9x + 3y ≤ 6?

• 0 = 6, which is true

• 0 = 6, which is false

• 0 ≤ 6, which is false

• 0 ≤ 6, which is true