Calculate Slope

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = \frac{y_2 - y_1}{x_2 - x_1}.

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value 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 the x-value increases, the y-value 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 2, what does this mean in terms of rise over run?

Back

A slope of 2 means that for every 1 unit you move to the right (run), the line rises 2 units (rise).

Tags

CCSS.8.EE.B.5

Front

Calculate the slope between the points (3, 4) and (7, 10).

Back

Using the formula: m = \frac{10 - 4}{7 - 3} = \frac{6}{4} = \frac{3}{2}.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = -3x + 5?

Back

The slope of the line is -3.

Tags

CCSS.8.EE.B.5

Front

How do you find the slope from a linear equation in the form y = mx + b?

Back

In the equation y = mx + b, m represents the slope of the line.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of -1/2, what does this indicate about its steepness?

Back

A slope of -1/2 indicates a relatively gentle decline; for every 2 units you move to the right, the line falls 1 unit.

Tags

CCSS.8.EE.B.5