Graphing Linear Functions Review

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in a linear function?

Back

The slope (m) represents the rate of change of the function. It indicates how much y changes for a unit change in x.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the slope-intercept form y = mx + b.

Front

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

Back

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

Front

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

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean if the slope is positive?

Back

If the slope is positive, it means that as x increases, y also increases, indicating a rising line.

Front

What does it mean if the slope is negative?

Back

If the slope is negative, it means that as x increases, y decreases, indicating a falling line.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.

Front

How do you graph a linear function using slope-intercept form?

Back

First, plot the y-intercept (b) on the y-axis. Then, use the slope (m) to find another point by rising and running from the y-intercept.

Front

What is the significance of the x-intercept?

Back

The x-intercept is the point where the line crosses the x-axis. It represents the value of x when y equals zero.