Interpreting Slope and Y-intercept

Front

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

Back

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

Front

In the equation y = mx + b, what does 'b' represent?

Back

The y-intercept, which is the value of y when x = 0.

Front

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

Back

It represents the fixed cost or initial amount before any variable costs are added.

Front

How do you interpret the slope in the equation y = 0.5x + 10?

Back

The slope (0.5) represents the per-mile fee for the moving truck.

Front

What does the x-intercept indicate in a graph of a candle's height over time?

Back

The x-intercept indicates the time it takes to burn the entire candle.

Front

What is the significance of the y-intercept in the equation c = 0.20t + 3.50?

Back

The y-intercept (3.50) indicates the upfront cost to rent the kayak.

Front

In the context of a linear equation, what does a negative slope indicate?

Back

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

Front

What does the slope of a line tell you about the relationship between two variables?

Back

It tells you how much one variable changes for a unit change in the other variable.

Front

If a hamburger costs $1.90 without toppings, what does this represent in a cost equation?

Back

This represents the y-intercept of the cost equation.

Front

How can you determine the equation of a line given a slope and a y-intercept?

Back

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