Final Flashcardizz Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or equal to the other. Examples include <, >, ≤, and ≥.

Front

What does the inequality x < -2 represent on a number line?

Back

It represents all numbers to the left of -2, not including -2 itself.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does the equation y ≥ -5/4 x + 3 indicate about the graph?

Back

It indicates that the region above the line y = -5/4 x + 3 is included in the solution set, and the line itself is part of the solution.

Front

What is point-slope form of a linear equation?

Back

Point-slope form is given by the equation y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

Front

How do you find the slope between two points?

Back

The slope (m) between two points (x_1, y_1) and (x_2, y_2) is calculated using the formula m = (y_2 - y_1) / (x_2 - x_1).

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, meaning they intersect at a right angle.

Front

Back

The solution is x = 12.

Front

What is the significance of the y-intercept in a linear equation?

Back

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

Front

How can you identify the slope from the equation of a line in slope-intercept form?

Back

In slope-intercept form, y = mx + b, the slope (m) is the coefficient of x.