Finding Slope from graphs, tables and two given coordinates

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does a slope of zero indicate about a line on a graph?

Back

A slope of zero indicates that the line is horizontal, meaning there is no change in the y-value as the x-value changes.

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about the relationship between x and y?

Back

A positive slope indicates that as the x-value increases, the y-value also increases.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about the relationship between x and y?

Back

A negative slope indicates that as the x-value increases, the y-value decreases.

Tags

CCSS.8.EE.B.5

Front

How can you determine the slope from a graph visually?

Back

You can determine the slope by identifying two points on the line, calculating the rise (change in y) and run (change in x), and then using the slope formula.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x is zero.

Tags

CCSS.8.EE.B.5

Front

How do you find the slope from a table of values?

Back

To find the slope from a table, calculate the change in y-values divided by the change in x-values between two points.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the slope in real-world applications?

Back

The slope represents the rate of change, which can be used to understand relationships between variables in various contexts, such as speed, cost, and growth.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line that is perfectly horizontal?

Back

The slope of a perfectly horizontal line is zero.

Tags

CCSS.8.EE.B.5

Front

If the slope of a line is 4/5, what does this mean in terms of rise and run?

Back

A slope of 4/5 means that for every 5 units you move horizontally (run), the line rises 4 units (rise).

Tags

CCSS.8.EE.B.5