Finding the Slope of Lines

Front

What does the slope represent in a real-world context?

Back

The slope represents the rate of change between two variables, indicating how much one variable changes in relation to another.

Tags

CCSS.8.EE.B.5

Front

How do you calculate the slope of a line given 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 can you say about its slope?

Back

The slope is positive.

Tags

CCSS.8.EE.B.5

Front

If a line falls from left to right, what can you say about its slope?

Back

The slope is negative.

Tags

CCSS.8.EE.B.5

Front

Find 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

Front

Find the slope of the line that passes through the points (1, 1) and (1, 5).

Back

The slope is undefined because the x-coordinates are the same.

Tags

CCSS.8.EE.B.5

Front

What does a slope of 1 indicate about a line?

Back

A slope of 1 indicates that for every unit increase in x, y increases by the same amount.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line that passes through the points (0, 0) and (5, 5)?

Back

Slope = (5 - 0) / (5 - 0) = 1.

Tags

CCSS.8.EE.B.5