Linear Equations Test Review

Front

What is the rate of change in a linear equation?

Back

The rate of change is the slope (m) of the line, which indicates how much y changes for a unit change in x.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates a horizontal line, meaning y remains constant as x changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, where x remains constant and y can change.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

What is the significance of the slope in real-world applications?

Back

The slope represents the rate of change in real-world contexts, such as speed, cost, or growth rates.

Front

How can you determine if a line is increasing or decreasing?

Back

If the slope is positive, the line is increasing; if the slope is negative, the line is decreasing.