Slope

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What are the x- and y-intercepts of a line?

Back

The x-intercept is the point where the line crosses the x-axis (y=0), and the y-intercept is the point where the line crosses the y-axis (x=0).

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning it goes straight up and down.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal, meaning it does not rise or fall.

Front

If a line has a slope of -5/4, what does this tell you about its direction?

Back

A slope of -5/4 indicates that for every 4 units moved to the right, the line moves down 5 units, showing a downward trend.

Front

What is the average rate of change in a linear function?

Back

The average rate of change is the slope of the line connecting two points on the graph, representing how much the output (y) changes for a given change in input (x).

Front

How can you identify a line with an undefined slope from a graph?

Back

A line with an undefined slope is vertical and will not intersect the x-axis.

Front

What is the slope of a line that rises 3 units for every 2 units it runs to the right?

Back

The slope of the line is 3/2.

Front

What is the formula for finding the slope of a line given two points?

Back

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