Slope from a Graph

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change to the horizontal change between two points on the line.

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-coordinate increases, the y-coordinate 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-coordinate increases, the y-coordinate 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

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

If a line has a slope of 1/2, what does this mean?

Back

For every 2 units you move horizontally to the right, you move 1 unit up vertically.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = -3x + 4?

Back

The slope of the line is -3.

Tags

CCSS.8.EE.B.5

Front

If a line passes through the points (2, 3) and (4, 7), what is the slope?

Back

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

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = 5?

Back

The slope is 0, as it is a horizontal line.

Tags

CCSS.8.EE.B.5