Find Slope from Tables and Graphs

Front

What is the slope?

Back

The slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x (rise/run).

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, determine the rise (change in y) and run (change in x), and then divide rise by run.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases, showing an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases, showing a downward trend.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no change in y regardless of the change in x.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the change in x is 0, leading to division by zero.

Front

How can you find the slope from a table of values?

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) and use the formula (y2 - y1) / (x2 - x1).

Front

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

Back

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

Front

What is the slope of the line represented by the equation y = -1/2x + 4?

Back

The slope of the line is -1/2.

Front

If a line passes through the points (1, 2) and (3, 6), what is the slope?

Back

The slope is (6 - 2) / (3 - 1) = 4 / 2 = 2.