Slope Applications

Front

What is the slope in a linear relationship?

Back

The slope represents the rate of change between two variables, indicating how much one variable changes for a unit change in another variable.

Tags

CCSS.8.EE.B.5

Front

How do you calculate the slope from 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 graph?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a graph?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Tags

CCSS.8.EE.B.5

Front

What is the meaning of the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0, representing the starting point of the relationship.

Tags

CCSS.HSF.LE.B.5

Front

If a taxi charges $0.30 per mile, what is the slope of the cost vs. miles graph?

Back

The slope is $0.30 per mile.

Tags

CCSS.8.EE.B.5

Front

If a candle decreases in height by 1/10 of an inch every minute, what is the slope of the height vs. time graph?

Back

The slope is -1/10 inches per minute.

Tags

CCSS.8.EE.B.5

Front

What does it mean if the slope of a graph is zero?

Back

A slope of zero indicates that there is no change in the dependent variable as the independent variable changes; the graph is a horizontal line.

Tags

CCSS.8.EE.B.5

Front

How can you interpret the slope in a real-world context?

Back

The slope can be interpreted as the rate of change, such as speed, cost per unit, or growth rate.

Tags

CCSS.8.EE.B.5

Front

What is the formula for the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3