Quick Check #2: Graphing a Line

Front

What is the general form of a linear equation?

Back

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

Front

How do you determine if a linear function is increasing or decreasing?

Back

A linear function is increasing if the slope (m) is positive, and decreasing if the slope is negative.

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 the slope of a line represent in a graph?

Back

The slope of a line represents the rate of change of y with respect to x.

Front

How can you find the y-intercept of a linear equation in standard form?

Back

To find the y-intercept of a linear equation in standard form (Ax + By = C), set x = 0 and solve for y.

Front

What is the significance of the x-intercept in a linear equation?

Back

The x-intercept is the point where the line crosses the x-axis, found by setting y = 0 and solving for x.

Front

What is the relationship between parallel lines in terms of slope?

Back

Parallel lines have the same slope but different y-intercepts.

Front

What is the relationship between perpendicular lines in terms of slope?

Back

Perpendicular lines have slopes that are negative reciprocals of each other.

Front

How do you graph a linear equation using the slope and y-intercept?

Back

To graph a linear equation, start at the y-intercept (0, b) and use the slope (rise/run) to find another point.

Front

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

Back

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