810 Acc. Interpreting Slope & Y-intercept

Front

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

Back

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

Front

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

Back

The slope represents the rate of change or the cost per unit in a real-world context.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept represents the initial value or the starting point when x = 0.

Front

Write the equation in slope-intercept form for a bike rental that costs $4 plus $1.50 per hour.

Back

y = 1.50x + 4.

Front

If the equation is y = 0.20x + 3.50, what does the y-intercept of 3.50 mean?

Back

It means you have to pay $3.50 up front before using the kayak.

Front

In the equation y = 0.5x + 10, what does the slope of 0.5 represent?

Back

The slope of 0.5 represents the per-mile fee for renting the moving truck.

Front

What is a false statement about a graph showing deposits?

Back

They are depositing a different amount every deposit.

Front

How do you determine the total cost from a linear equation?

Back

You substitute the value of x (units) into the equation to find y (total cost).

Front

What does a negative slope indicate in a real-world scenario?

Back

A negative slope indicates a decrease in value or cost over time.

Front

If a candle burns out in 10 hours, what does this imply about the rate of burning?

Back

It implies that the candle has a consistent burn rate that leads to it being completely consumed in 10 hours.