Find Slope of 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 to the horizontal change 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

Slope (m) = (y2 - y1) / (x2 - x1)

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

Front

What does a slope of zero mean?

Back

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

Tags

CCSS.8.EE.B.5

Front

What does an undefined slope mean?

Back

An undefined slope occurs with a vertical line, where the x-value does not change, leading to division by zero in the slope formula.

Tags

CCSS.8.EE.B.5

Front

Find the slope of the line passing through the points (2, 3) and (5, 7).

Back

Slope (m) = (7 - 3) / (5 - 2) = 4 / 3.

Tags

CCSS.8.EE.B.5

Front

Find the slope of the line passing through the points (1, 2) and (1, 5).

Back

Slope is undefined because the x-values are the same.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of 3, what does this mean in terms of rise over run?

Back

For every 3 units the line rises vertically, it runs 1 unit horizontally.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line that runs horizontally?

Back

The slope of a horizontal line is 0.

Tags

CCSS.8.EE.B.5