What does the inequality $$y

It represents the region below the line $$y = 2x - 3$$ .

What is the graphical representation of the inequality $$y > 2x + 1$$ ?

It represents the region above the line $$y = 2x + 1$$ .

What is the significance of the slope in a linear equation?

The slope indicates the steepness and direction of the line; a positive slope rises, while a negative slope falls.

How can you find the x-intercept of a linear equation?

Set $$y = 0$$ in the equation and solve for $$x$$ .

What does it mean if a line is horizontal?

A horizontal line has a slope of 0 and represents a constant y-value for all x-values.

What does it mean if a line is vertical?

A vertical line has an undefined slope and represents a constant x-value for all y-values.

How do you graph an inequality in two variables?

Graph the corresponding equation as a line, then shade the appropriate region based on the inequality.

What is the difference between a solid line and a dashed line in graphing inequalities?

A solid line indicates that points on the line are included in the solution ( =), while a dashed line indicates they are not ( ).

What is the solution set of an inequality?

The solution set is the set of all points (x, y) that satisfy the inequality.

How do you interpret the solution of a system of inequalities?

The solution is the region where the shaded areas of all inequalities overlap.

Graphing Inequalities in Two Variables Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a y-intercept?

Back

The y-intercept of a graph is the y-coordinate of the point where the line crosses the y-axis.

2.

FLASHCARD QUESTION

Front

How do you find the y-intercept from a linear equation?

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

The point (5, 2) satisfies the inequality.

5.

FLASHCARD QUESTION

Front

What is the slope-intercept form of a linear equation?

Back

6.

FLASHCARD QUESTION

Front

How do you determine if a point is a solution to an inequality?

Back

Substitute the x and y values of the point into the inequality. If the inequality holds true, the point is a solution.

7.

FLASHCARD QUESTION

Front

Back

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