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, usually represented as 'm'. It is 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-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 is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no vertical change as the x-value changes.

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 does not have a defined rise over run.

Tags

CCSS.8.EE.B.5

Front

Given the points (1, 2) and (3, 6), find the slope.

Back

The slope is m = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Tags

CCSS.8.EE.B.5

Front

Given the points (4, 5) and (2, 1), find the slope.

Back

The slope is m = (1 - 5) / (2 - 4) = -4 / -2 = 2.

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope is 3, which is the coefficient of x in the equation.

Tags

CCSS.8.EE.B.5

Front

How do you interpret the slope in a real-world context?

Back

The slope represents the rate of change between two variables. For example, in a distance-time graph, the slope indicates speed.

Tags

CCSS.8.EE.B.5