Graphing Linear Inequalities

Front

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

Back

The slope-intercept form is given by the equation: y = mx + b, where m is the slope and b is the y-intercept.

Front

Identify the slope and y-intercept of the equation: y = -x + 4.

Back

Slope (m) = -1, Y-intercept (b) = 4.

Front

What does it mean to flip the inequality sign when solving inequalities?

Back

Flipping the inequality sign occurs when you multiply or divide both sides of an inequality by a negative number.

Front

For the inequality 3x ≥ 12, do you need to flip the sign?

Back

No, you do not need to flip the sign because you are dividing by a positive number.

Front

What type of line is used to graph the inequality y < 6x + 1?

Back

A dashed line is used to graph the inequality.

Front

When graphing y < 6x + 1, which area is shaded?

Back

The area below the line is shaded.

Front

What is a linear inequality?

Back

A linear inequality is an inequality that involves a linear function, typically expressed in the form ax + by < c, ax + by > c, etc.

Front

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

Back

Substitute the coordinates of the point into the inequality. If the inequality holds true, the point is a solution.

Front

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

Back

A solid line indicates that points on the line are included in the solution (≥ or ≤), while a dashed line indicates that points on the line are not included (> or <).

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.