3/26: PA Practice

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

What does it mean for a function to be linear?

Back

A function is linear if it has a constant rate of change, meaning the graph of the function is a straight line.

Front

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

Back

The y-intercept is the point where the graph of the function crosses the y-axis, represented as (0, b) in the slope-intercept form.

Front

What type of line runs parallel to the y-axis?

Back

A vertical line runs parallel to the y-axis.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = k, where k is a constant.

Front

What does it mean for a function to be nonlinear?

Back

A function is nonlinear if it does not have a constant rate of change, meaning its graph is not a straight line.

Front

How can you identify a linear function from a table of values?

Back

A linear function will have a constant difference in the y-values for equal increments in the x-values.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.