Find Slope (graphs, tables, equations)

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (run).

Tags

CCSS.8.EE.B.5

Front

How do you calculate the slope from 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

Given the points (1, 2) and (3, 6), find the slope.

Back

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

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 table of values?

Back

Calculate the change in y divided by the change in x between two points.

Tags

CCSS.8.EE.B.5

Front

What does a slope of -1 indicate about a line?

Back

The line decreases at a 45-degree angle from left to right.

Tags

CCSS.8.EE.B.5