Slope from a Graph

Front

What is the definition of slope in a graph?

Back

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

Tags

CCSS.8.EE.B.5

Front

How do you calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about a line on a graph?

Back

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

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line on a graph?

Back

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

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

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 in the slope formula.

Tags

CCSS.8.EE.B.5

Front

If a line rises 3 units for every 2 units it runs, what is the slope?

Back

The slope is 3/2.

Tags

CCSS.8.EE.B.5

Front

If a line falls 4 units for every 5 units it runs, what is the slope?

Back

The slope is -4/5.

Tags

CCSS.8.EE.B.5

Front

How can you identify the slope from a graph visually?

Back

You can identify the slope by selecting two points on the line, measuring the vertical rise and horizontal run between them, and calculating the ratio.

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope is 2.

Tags

CCSS.8.EE.B.5