Interpreting Slope and Y-intercept

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in the y-coordinate divided by the change in the x-coordinate between two points on the line.

Tags

CCSS.8.EE.B.5

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (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 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 does a zero slope indicate about a line?

Back

A zero slope indicates a horizontal line, meaning there is no change in the y-value as the x-value changes.

Tags

CCSS.8.EE.B.5

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, meaning the x-value does not change while the y-value changes.

Tags

CCSS.8.EE.B.5

Front

In the equation y = mx + b, what does 'b' represent?

Back

In the equation y = mx + b, 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

In the equation y = 3x + 10, what does the y-intercept (10) represent?

Back

The y-intercept (10) represents the monthly fee Rich pays for his gym membership, regardless of the number of visits.

Tags

CCSS.HSF.LE.B.5

Front

How do you interpret the slope in a real-world context, such as the height of a burning candle?

Back

The slope represents the rate of change, such as the change in the height of the candle each hour it is burning.

Tags

CCSS.8.EE.B.5

Front

If a line passes through the points (2, 4) and (6, 12), what is the slope?

Back

The slope is 2.

Tags

CCSS.8.EE.B.5