Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented 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 from a table of values?

Back

To calculate the slope from a table, use the formula: slope (m) = (y2 - y1) / (x2 - x1) using any two points (x1, y1) and (x2, y2) from the table.

Front

What is the slope of the line represented by the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

If the slope of a line is positive, what does that indicate about the line's direction?

Back

A positive slope indicates that the line rises from left to right.

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

A negative slope indicates that the line falls from left to right.

Front

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

Back

The slope of the line is 3.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

How can you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, determine the rise (vertical change) and run (horizontal change), and use the formula: slope = rise/run.

Front

What is the slope of the line that passes through the points (2, 3) and (4, 7)?

Back

The slope is (7 - 3) / (4 - 2) = 4 / 2 = 2.