Graphing linear equations

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis, meaning the y-coordinate is 0.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, meaning the x-coordinate is 0.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the standard form of a linear equation?

Back

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

Front

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

Back

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

Front

How do you graph a linear equation in slope-intercept form?

Back

Start at the y-intercept (0, b) and use the slope (rise/run) to find another point.

Front

What is the significance of a positive slope?

Back

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

Front

What is the significance of a negative slope?

Back

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

Front

What does a slope of zero indicate?

Back

A slope of zero indicates a horizontal line, meaning y does not change as x changes.