Slope, Intercepts, and Inequalities

The video tutorial explains how to rewrite equations in slope-intercept form and graph inequalities. It covers the process of isolating the variable y, adjusting the inequality sign when dividing by a negative number, and identifying the slope and y-intercept. The tutorial also demonstrates how to graph inequalities using dashed lines and test solutions with test points, emphasizing the importance of choosing points not on the line. Tips are provided for avoiding common mistakes, such as shading incorrectly based on the inequality symbol.

What is the first step in rewriting an equation in slope-intercept form?

• Add 3

• Multiply by 2

• Isolate y

• Isolate x

What is the purpose of rewriting an equation in slope-intercept form?

• To solve for x

• To easily identify the slope and y-intercept

• To eliminate fractions

• To find the x-intercept

When rewriting an inequality, what must you do if you divide by a negative number?

• Subtract 2 from both sides

• Multiply by 3

• Flip the inequality sign

• Add 5 to both sides

What happens to the inequality sign when you multiply or divide by a negative number?

• It stays the same

• It disappears

• It flips direction

• It becomes an equal sign

In the equation y = mx + b, what does 'b' represent?

• The y-intercept

• The slope

• The origin

• The x-intercept

What is the slope in the equation y = 3/2x - 6?

• -6

• 3/2

• 0

• 1

What is the y-intercept in the equation y = 3/2x - 6?

• (-6, 0)

• (3/2, 0)

• (0, -6)

• (0, 3/2)

What is the result of dividing -3 by -2?

• -3/2

• 3/2

• -6

• 6

What is the coordinate point for the y-intercept in slope-intercept form?

• (0, m)

• (m, 0)

• (0, b)

• (b, 0)

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

• The x-intercept

• The rate of change

• The origin

• The y-intercept