Interpreting Slope and Y-intercept

Front

What does the slope of a linear equation represent?

Back

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

Front

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

Back

'm' represents the slope of the line.

Front

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

Back

'b' represents the y-intercept of the line.

Front

What is the meaning of the y-intercept in a real-world context?

Back

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

Front

If a moving truck rental costs $10 per day plus $0.50 per mile, what is the slope of the cost equation?

Back

The slope is $0.50, representing the cost per mile.

Front

If a meal costs $12.50 per person plus a $30 delivery fee, what does the y-intercept represent?

Back

The y-intercept is $30, representing the delivery fee.

Front

What does a positive slope indicate about a relationship between two variables?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What does a negative slope indicate about a relationship between two variables?

Back

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

Front

In the context of a candle burning, what does the slope of the height vs. time graph represent?

Back

The slope represents the rate at which the candle is losing height each hour.

Front

How can you find the y-intercept from a linear equation?

Back

Set the independent variable (x) to zero and solve for the dependent variable (y).