Algebra I CT Flashcard Parallel and Perpendicular Lines

Front

What is the definition of parallel lines in the context of algebra?

Back

Parallel lines are lines in a plane that never meet. They have the same slope but different y-intercepts.

Front

What is the definition of perpendicular lines in algebra?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees). The slopes of perpendicular lines are negative reciprocals of each other.

Front

How do you find the slope of a line given its equation in slope-intercept form?

Back

In slope-intercept form (y = mx + b), 'm' represents the slope of the line.

Front

What is the slope of a line that is parallel to the line with the equation y = 2x + 3?

Back

The slope of a line parallel to y = 2x + 3 is 2.

Front

If a line has a slope of 4, what is the slope of a line that is perpendicular to it?

Back

The slope of a line perpendicular to a line with a slope of 4 is -1/4.

Front

How do you convert the standard form of a line (Ax + By = C) to slope-intercept form (y = mx + b)?

Back

To convert to slope-intercept form, solve for y: isolate y on one side of the equation.

Front

What is the slope of the line represented by the equation 4x - y = 8?

Back

The slope of the line 4x - y = 8 is 4.

Front

What is the relationship between the slopes of two parallel lines?

Back

The slopes of two parallel lines are equal.

Front

What is the relationship between the slopes of two perpendicular lines?

Back

The slopes of two perpendicular lines are negative reciprocals of each other.

Front

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

Back

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