Interpreting Linear Functions

Front

What is the y-intercept in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x=0.

Front

What does the y-intercept indicate in a real-world context?

Back

It often represents the starting value of a situation, such as initial height, amount, or quantity.

Front

What does the slope of a linear function represent?

Back

The slope indicates the rate of change of y with respect to x, showing how much y increases or decreases as x increases.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the general form of a linear equation?

Back

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

Front

How do you determine the x-intercept of a linear equation?

Back

Set y=0 in the equation and solve for x.

Front

How do you determine the y-intercept of a linear equation?

Back

Set x=0 in the equation and solve for y.

Front

What is the significance of the slope in a real-world scenario?

Back

It represents the rate of change, such as speed, growth rate, or cost per unit.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases.