Slope Practice (From a Graph)

Front

What is the definition of slope in a graph?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the equation of a line. It is calculated as the ratio of the change in the y-coordinate to the change in the x-coordinate between two points on the line.

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates that the line is horizontal, meaning there is no change in the y-coordinate as the x-coordinate changes.

Front

How do you calculate 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 slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x (denominator) is zero.

Front

What is the slope of a line that descends from left to right?

Back

The slope of a line that descends from left to right is negative.

Front

What is the slope of a line that ascends from left to right?

Back

The slope of a line that ascends from left to right is positive.

Front

What is the x-axis in a graph?

Back

The x-axis is the horizontal number line in a Cartesian coordinate system.

Front

What is the y-axis in a graph?

Back

The y-axis is the vertical number line in a Cartesian coordinate system.

Front

If a line has a slope of -5/3, what does this indicate about its steepness?

Back

A slope of -5/3 indicates that for every 3 units moved to the right, the line moves down 5 units, making it relatively steep and descending.

Front

What does it mean if the slope is expressed as a fraction?

Back

If the slope is expressed as a fraction, it indicates the ratio of vertical change to horizontal change between two points on the line.