Comparing Linear Functions

Front

What does the slope of a linear function 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

How do you determine which linear function has a steeper slope?

Back

Compare the values of 'm' in the equations; the larger the absolute value of 'm', the steeper the slope.

Front

What is the y-intercept of the equation y = 2x + 5?

Back

The y-intercept is 5.

Front

If a linear function has a negative slope, what does that indicate about the relationship between the variables?

Back

It indicates that as one variable increases, the other variable decreases.

Front

How can you find the cost of renting a truck if the equation is y = 0.5x + 10?

Back

Substitute the value of 'x' (miles driven) into the equation to find 'y' (total cost).

Front

What is the equation of a line with a slope of 3 and a y-intercept of -1?

Back

The equation is y = 3x - 1.

Front

If two linear equations have the same slope, what can be said about their graphs?

Back

Their graphs are parallel.

Front

What does it mean if two linear equations intersect at a point?

Back

It means that the two equations have one solution in common.