Slope from Graphs, Ordered Pairs and Tables

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (run).

Front

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

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line falls from left to right.

Front

What does an undefined slope mean?

Back

An undefined slope occurs in vertical lines where the change in x is zero, leading to division by zero.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no change in y as x changes.

Front

If a line passes through the points (2, 3) and (4, 7), what is the slope?

Back

Slope = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

How can you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, find the rise and run between them, and calculate the slope using the formula: slope = rise/run.

Front

What is the slope of the line represented by the equation y = 2x + 1?

Back

The slope is 2, which is the coefficient of x in the equation.

Front

What is the slope of the line represented by the equation x = 5?

Back

The slope is undefined because it is a vertical line.