Graphing Linear Equations Flashcard

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 value of y 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 value of x is 0.

Front

How do you find the slope of a line given two points?

Back

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

Front

How do you graph a line using the x-intercept and y-intercept?

Back

Plot the x-intercept on the x-axis and the y-intercept on the y-axis, then draw a line through these two points.

Front

What does it mean if a line has a positive slope?

Back

A positive slope means that as x increases, y also increases, indicating an upward trend.

Front

What does it mean if a line has a negative slope?

Back

A negative slope means that as x increases, y decreases, indicating a downward trend.

Front

What is the significance of a slope of zero?

Back

A slope of zero indicates a horizontal line, meaning y remains constant regardless of x.

Front

What is the significance of an undefined slope?

Back

An undefined slope indicates a vertical line, meaning x remains constant regardless of y.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.