Finding Slope from a Graph

Front

What is slope in a graph?

Back

Slope is a measure of the steepness or incline of a line on a graph, 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 two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, 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-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no vertical change as the x-value changes.

Front

What is the slope of a vertical line?

Back

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

Front

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

Back

Front

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

Back

Front

How can you identify the slope from a graph visually?

Back

You can identify the slope by selecting two points on the line, counting the vertical change (rise) and the horizontal change (run), and then calculating the slope as rise/run.

Front

What is the slope of a line that goes through the points (1, 2) and (3, 6)?

Back