M4L1: Proportional Relationships and Slope

Front

What is the definition of slope in a graph?

Back

The slope of a graph is a measure of the steepness or incline of the 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 between 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 involves division by zero (the change in x is 0).

Tags

CCSS.8.EE.B.5

Front

Back

It means that for every 1 unit you move 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 + 1?

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

To determine the slope from a table, select two points (x1, y1) and (x2, y2) from the table and use the slope formula: m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = -rac{1}{2}x + 3?

Back

The slope of the line is -rac{1}{2}, indicating that for every 2 units you move horizontally to the right, the line falls 1 unit.

Tags

CCSS.8.EE.B.5