Parallel and Perpendicular Equations

Front

What is the slope of a line parallel to the line represented by the equation y = mx + b?

Back

The slope of a line parallel to the line represented by the equation y = mx + b is the same, which is m.

Front

What is the slope of a line perpendicular to the line represented by the equation y = mx + b?

Back

The slope of a line perpendicular to the line represented by the equation y = mx + b is -1/m.

Front

How do you find the equation of a line given a point and a slope?

Back

Use the point-slope form of the equation: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

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

Back

The point-slope form of a linear equation is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

What are the characteristics of parallel lines in terms of their slopes?

Back

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

Front

What are the characteristics of perpendicular lines in terms of their slopes?

Back

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

Front

If a line has a slope of 3, what is the slope of a line that is perpendicular to it?

Back

The slope of a line that is perpendicular to a line with a slope of 3 is -1/3.

Front

How can you determine if two lines are parallel by looking at their equations?

Back

Two lines are parallel if their slopes are equal.

Front

How can you determine if two lines are perpendicular by looking at their equations?

Back

Two lines are perpendicular if the product of their slopes is -1.

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.