Interpreting Slope and Y-intercept

Front

What is the slope in a linear equation?

Back

The slope is a measure of the steepness of a line, representing the rate of change of the dependent variable with respect to the independent variable.

Tags

CCSS.8.EE.B.5

Front

What does the slope represent in a real-world context?

Back

In a real-world context, the slope often represents a rate, such as cost per item, speed, or commission per sale.

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, representing the starting point of the relationship.

Front

What does the y-intercept represent in a real-world context?

Back

In a real-world context, the y-intercept often represents a fixed cost or initial amount before any variable changes occur.

Tags

CCSS.HSF.LE.B.5

Front

How do you interpret the slope of the equation y=3x+10?

Back

The slope is 3, meaning for each additional visit to the gym, Rich pays an extra $3.

Tags

CCSS.8.EE.B.5

Front

How do you interpret the y-intercept of the equation y=3x+10?

Back

The y-intercept is 10, meaning Rich pays a monthly fee of $10 regardless of the number of visits.

Tags

CCSS.HSF.LE.B.5

Front

What does the slope of the equation y=0.5x+10 represent?

Back

The slope is 0.5, representing the per-mile fee for renting the moving truck.

Tags

CCSS.HSF.LE.B.5

Front

What does the y-intercept of the equation y=0.5x+10 represent?

Back

The y-intercept is 10, representing the daily fee for renting the moving truck.

Tags

CCSS.HSF.LE.B.5

Front

What is the equation that represents Adrianna's savings situation?

Back

The equation is y=5x+20, where y is the total amount in savings after x weeks.

Tags

CCSS.6.EE.C.9

Front

What does the slope of the equation y=5x+20 represent?

Back

The slope is 5, meaning Adrianna adds $5 to her savings each week.

Tags

CCSS.HSF.LE.B.5