MIX 1

Front

What is the slope of a line that passes through two points?

Back

The slope (m) of a line passing through two points (x1, y1) and (x2, y2) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

How do you find the range of a linear function from its graph?

Back

The range of a linear function is the set of all possible output values (y-values) that the function can produce, which can be determined by observing the lowest and highest points on the graph.

Front

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

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

Back

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

Front

How do you represent a situation where a quantity decreases over time using an equation?

Back

You can represent it with a linear equation of the form y = mx + b, where m is negative, indicating a decrease.

Front

What is an inequality in mathematics?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is less than, greater than, less than or equal to, or greater than or equal to the other.

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding equation as a line, then shade the region that satisfies the inequality.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value).

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input values (x) increase, the output values (y) also increase.

Front

What is the formula to calculate the slope of a line given two points?

Back

The formula is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.