Identifying Slope Using Different Methods

Front

What is the definition of slope?

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 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 rises from left to right, what is the sign of its slope?

Back

The slope is positive.

Tags

CCSS.8.EE.B.5

Front

If a line falls from left to right, what is the sign of its slope?

Back

The slope is negative.

Tags

CCSS.8.EE.B.5

Front

What does a slope of 1/2 indicate about the line?

Back

For every 2 units moved horizontally, the line rises 1 unit vertically.

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.

Tags

CCSS.8.EE.B.5

Front

How do you find the slope from a graph?

Back

Select two points on the line, determine the rise and run between them, and use the formula slope = rise/run.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line that passes through the points (2, 3) and (4, 7)?

Back

Slope = (7 - 3) / (4 - 2) = 4/2 = 2.

Tags

CCSS.8.EE.B.5