Interpreting Slope and y-Intercept

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of the dependent variable when the independent variable is zero.

Front

How can you interpret the slope of the equation y = -25x + 120 in a real-world context?

Back

The slope of -25 indicates that the quantity decreases by 25 units for every 1 unit increase in x, such as gallons of water released per minute.

Tags

CCSS.8.EE.B.5

Front

If Bob saves $40 per month, what does the slope of his savings equation y = 40x + 150 represent?

Back

The slope of 40 represents the amount Bob saves each month.

Tags

CCSS.HSF.LE.B.5

Front

In the equation v = 2,000t + $12,000, what does the slope of 2,000 represent?

Back

The slope of 2,000 indicates that the value of the antique car increases by $2,000 each year.

Tags

CCSS.HSF.LE.B.5

Front

What does a positive slope indicate in a linear relationship?

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate in a linear relationship?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases.

Tags

CCSS.8.EE.B.5

Front

In the context of a delivery job, what does the slope of the graph representing pay versus number of newspapers delivered signify?

Back

The slope represents the payment received per newspaper delivered.

Tags

CCSS.HSF.LE.B.5

Front

How do you find the y-intercept from a linear equation in slope-intercept form?

Back

The y-intercept can be found as the constant term in the equation, represented as 'b' in y = mx + b.

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5