Finding Slope (Tables and Graphs)

Front

What is the slope?

Back

The slope is a measure of the steepness of a line, calculated as the ratio of the vertical change to the horizontal change 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) where (x1, y1) and (x2, y2) are two points from the table.

Front

What does a positive slope indicate?

Back

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

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value 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 vertical change regardless of the horizontal change.

Front

What is the slope of a vertical line?

Back

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

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 their coordinates, and use the slope formula: Slope (m) = (y2 - y1) / (x2 - x1).

Front

If a line rises 3 units for every 4 units it runs, what is the slope?

Back

Front

If a line falls 5 units for every 2 units it runs, what is the slope?

Back

Front

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

Back

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