M4L1: Proportional Relationships and Slope

Front

What is the definition of slope in a graph?

Back

Slope is a measure of the steepness 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 from 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?

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 would require division by zero (no horizontal change).

Tags

CCSS.8.EE.B.5

Front

Back

For every 4 units moved horizontally (run), the line rises 3 units vertically (rise).

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope of the line is 2, which means for every 1 unit increase in x, y increases by 2 units.

Tags

CCSS.8.EE.B.5

Front

How can you determine the slope from a table of values?

Back

Calculate the change in y (rise) and the change in x (run) between two points in the table, then use the formula: slope = rise/run.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the points (1, 2) and (3, 6)?

Back

Using the formula, slope = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Tags

CCSS.8.EE.B.5