Unit 3 Linear Functions LPC Redo

Front

What is a linear function?

Back

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the y-value with respect to the x-value. It indicates how steep the line is.

Front

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

Back

Front

What is the standard form of a linear equation?

Back

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value).

Front

What does it mean for a line to be increasing?

Back

A line is increasing if the slope is positive, meaning as the x-value increases, the y-value also increases.

Front

What does it mean for a line to be decreasing?

Back

A line is decreasing if the slope is negative, meaning as the x-value increases, the y-value decreases.

Front

How do you determine if a point lies on a line?

Back

To determine if a point (x, y) lies on a line, substitute the x-value into the line's equation and see if the resulting y-value matches the y-value of the point.

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is the same as the slope of the line, representing how much y changes for a unit change in x.

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is zero.