Slope Review Flashcardizz

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

How do you find the slope between two points?

Back

To find the slope (m) between two points (x1, y1) and (x2, y2), use the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing a direct relationship.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship.

Front

What is an additive relationship?

Back

An additive relationship is one where a constant value is added to the output (y) for each unit increase in the input (x).

Front

What is a multiplicative relationship?

Back

A multiplicative relationship is one where the output (y) is multiplied by a constant factor for each unit increase in the input (x).

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 is the y-intercept?

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

How do you determine if a relationship is additive or multiplicative from a graph?

Back

If the graph shows a straight line with a constant slope, it is multiplicative. If the graph shows a straight line that increases by a constant amount, it is additive.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope of the line is 2.