Finding slope from 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 between 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-values increase, the y-values also increase, 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-values increase, the y-values decrease, 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.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of 1/2, what does this mean in terms of rise and run?

Back

A slope of 1/2 means that for every 2 units of horizontal change (run), there is a 1 unit increase in vertical change (rise).

Tags

CCSS.8.EE.B.5

Front

How can you determine the slope from a graph visually?

Back

To determine the slope visually, select two points on the line, count the vertical change (rise) and the horizontal change (run), and then calculate the slope using the rise/run ratio.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line that rises 3 units for every 7 units it runs?

Back

The slope of the line is 3/7.

Tags

CCSS.8.EE.B.5

Front

What does it mean if a line has a slope of 4/3?

Back

A slope of 4/3 means that for every 3 units of horizontal change, the line rises 4 units vertically.

Tags

CCSS.8.EE.B.5