Interpreting Slope-Intercept Form

Front

What does the slope represent in the equation y=0.75x+2.25?

Back

The cost of the trip will increase by $0.75 per mile.

Front

What do the x-values represent in the equation y = -6x + 40?

Back

The number of minutes the tub has been draining for.

Front

What situation could be described by the equation y=-25x+120?

Back

There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute.

Front

When interpreting the meaning of the y-values, what should you refer to?

Back

Total.

Front

Write the equation for an airplane descending at a rate of 2,000 feet per minute from 30,000 feet.

Back

y = -2,000x + 30,000.

Front

What is the y-intercept in the equation y = mx + b?

Back

The value of y when x = 0.

Front

In the slope-intercept form, what does 'm' represent?

Back

The slope of the line.

Front

In the slope-intercept form, what does 'b' represent?

Back

The y-intercept of the line.

Front

How do you interpret a negative slope in a real-world context?

Back

It indicates a decrease in the quantity being measured.

Front

What does a slope of 0 indicate in a linear equation?

Back

The line is horizontal, meaning there is no change in y as x changes.