slope formula

Front

What is the slope formula?

Back

The slope formula is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Tags

CCSS.8.EE.B.5

Front

How do you find the slope between two points (6,7) and (4,2)?

Back

m = (2 - 7) / (4 - 6) = -5 / -2 = 5/2.

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y 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 x increases, y 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

If the slope of a line is 4/3, what does this mean?

Back

For every 3 units you move to the right (positive x direction), you move up 4 units (positive y direction).

Tags

CCSS.8.EE.B.5

Front

Calculate the slope of the line through points (2, 4) and (6, 12).

Back

m = (12 - 4) / (6 - 2) = 8 / 4 = 2.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line that passes through (-1,-2) and (-3,-4)?

Back

m = (-4 - (-2)) / (-3 - (-1)) = (-4 + 2) / (-3 + 1) = -2 / -2 = 1.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, cost per item, or growth rates.

Tags

CCSS.8.EE.B.5