SLOPE (P.2)

Front

What is the definition of slope?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line, calculated as the change in y divided by the change in x (rise over run).

Tags

CCSS.8.EE.B.5

Front

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

Back

The formula is m = (y2 - y1) / (x2 - x1).

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 y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as 'b' in the slope-intercept form y = mx + b.

Front

How do you find the y-intercept from the equation y = 2x + 3?

Back

The y-intercept is 3, which is the value of y when x = 0.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the slope of the line represented by the equation y = -rac{3}{2}x + 4?

Back

The slope is -rac{3}{2}.

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

How can you determine the slope from a graph?

Back

You can determine the slope by selecting two points on the line, calculating the rise (change in y) and run (change in x), and using the formula m = rise/run.

Tags

CCSS.8.EE.B.5