Finding Slope from graphs, tables and two given coordinates

Front

What is the definition of slope?

Back

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 from two coordinates (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 zero.

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

Find the slope of the line that passes through the points (1, 2) and (3, 6).

Back

Slope = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Tags

CCSS.8.EE.B.5

Front

Find the slope of the line that passes through the points (0, 0) and (4, 8).

Back

Slope = (8 - 0) / (4 - 0) = 8 / 4 = 2.

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, resulting in a 45-degree angle.

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 decreases by the same amount, resulting in a line that falls at a 45-degree angle.

Tags

CCSS.8.EE.B.5