Connect Proportional Relationships MODand Slope

Front

What is the definition of slope in mathematics?

Back

The 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 is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of 2, what does this mean?

Back

This means that for every 1 unit increase in x, the y-value increases by 2 units.

Tags

CCSS.HSF.LE.B.5

Front

What is the slope of the line represented by the equation y = 3x + 1?

Back

The slope is 3.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = -1/2x + 4?

Back

The slope is -1/2.

Tags

CCSS.8.EE.B.5

Front

How can you determine the slope from a graph?

Back

You can determine the slope by selecting two points on the line, calculating the rise (change in y) and run (change in x), and then using the formula slope = rise/run.

Tags

CCSS.8.EE.B.5