Slope from a Graph, Two Points and a Table

Front

What is the definition of slope in a graph?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

How do you identify a positive slope on a graph?

Back

A positive slope means that as you move from left to right on the graph, the line rises. This indicates that the y-values increase as the x-values increase.

Front

How do you identify a negative slope on a graph?

Back

A negative slope means that as you move from left to right on the graph, the line falls. This indicates that the y-values decrease as the x-values increase.

Front

What does a slope of zero indicate?

Back

A slope of zero indicates a horizontal line, meaning there is no vertical change as you move along the line.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where there is no horizontal change, and the slope cannot be calculated.

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 the line that passes through the points (2, 4) and (6, 12)?

Back

The slope is 2, calculated as m = (12 - 4) / (6 - 2) = 8 / 4 = 2.

Front

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

Back

The slope is negative.

Front

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

Back

The slope is positive.

Front

If a line has a slope of -2/3, what does this mean?

Back

This means that for every 3 units you move to the right (run), the line goes down 2 units (rise).