Understanding Slope and Inequalities

The video tutorial covers solving equations, understanding inequalities, and graph analysis. It begins with correcting a mistake in Stan's equation solution, explores when the opposite of a number is less, and calculates the y-intercept of a graph. The tutorial then analyzes graph inequalities, identifies correct graph representations, and determines inequalities for shaded graph regions.

What mistake did Stan make in his solution to the equation?

• He failed to distribute a term properly.

• He used the wrong order of operations.

• He solved for the wrong variable.

• He added terms incorrectly.

When is the statement 'The opposite of a number is less than the original number' true?

• Never true

• Always true

• For positive numbers

• For negative numbers

How do you find the y-intercept of a graph from its equation?

• Use the midpoint formula.

• Set x to zero and solve for y.

• Set y to zero and solve for x.

• Find the slope and use it to calculate the y-intercept.

What does a bold line on a graph indicate in terms of inequality?

• The inequality is undefined.

• The inequality is strict.

• The line is not included in the inequality.

• The line is included in the inequality.

How do you determine the inequality represented by a shaded region on a graph?

• By calculating the area of the shaded region.

• By identifying the y-intercept.

• By finding the slope of the line.

• By comparing y-values above or below the line.

What is the slope of the line y = 2x - 2?

• 0

• -2

• 2

• 1

Which graph represents the equation y = 2x - 2?

• A graph with a positive slope and y-intercept at -2.

• A graph with a negative slope and y-intercept at 2.

• A graph with a negative slope and y-intercept at -2.

• A graph with a positive slope and y-intercept at 2.

What does a negative slope indicate about the direction of a line on a graph?

• The line falls from left to right.

• The line is vertical.

• The line rises from left to right.

• The line is horizontal.

How can you tell if a shaded region on a graph represents y-values greater than the line?

• The line is dashed.

• The line is solid.

• The shaded region is below the line.

• The shaded region is above the line.

What is the y-intercept of the line represented by the equation y = -3x + 2?

• -2

• 0

• 2

• -3