Slope Formula

Front

What is the slope formula?

Back

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

Tags

CCSS.8.EE.B.5

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, determine the rise (change in y) and run (change in x), and use the formula m = rise/run.

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases, showing an upward trend.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases, showing a downward trend.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no change in y regardless of the change in x.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the change in x is 0, leading to division by zero.

Tags

CCSS.8.EE.B.5

Front

How do you calculate the slope between two points (5, -6) and (12, -20)?

Back

Using the slope formula: m = (-20 - (-6)) / (12 - 5) = -14 / 7 = -2.

Tags

CCSS.8.EE.B.5

Front

What is the rate of change in a table of values?

Back

The rate of change is the slope calculated from the change in y-values over the change in x-values between two points.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

If the slope is 1.5 cm/week, what does this mean?

Back

It means that for every week, the value increases by 1.5 cm.

Tags

CCSS.HSF.LE.B.5

Front

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

Back

The slope is -4, which indicates a steep downward trend.

Tags

CCSS.8.EE.B.5