Finding Slope from graphs, tables and two given coordinates

Front

What is the definition of slope?

Back

The slope of a line is a measure of its steepness, 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 from two coordinates (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?

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?

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, indicating no vertical change as the x-values 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 it has no horizontal change.

Tags

CCSS.8.EE.B.5

Front

Find the slope of the line that passes through the points (1, 2) and (3, 6).

Back

The slope is 2, calculated as (6 - 2) / (3 - 1).

Tags

CCSS.8.EE.B.5

Front

Find the slope of the line that passes through the points (4, 5) and (4, 9).

Back

The slope is undefined, as both points have the same x-coordinate.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of -3, what does this tell you about the line's direction?

Back

The line falls steeply from left to right, indicating a negative relationship between x and y.

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, which is the coefficient of x in the equation.

Tags

CCSS.8.EE.B.5