Often you will be asked to find the equation of a line given some geometric relationship—for instance, whether the line is parallel or perpendicular to another line. Here the given line has slope \(m=...Often you will be asked to find the equation of a line given some geometric relationship—for instance, whether the line is parallel or perpendicular to another line. Here the given line has slope m=12, and the slope of a line parallel is m∥=12. If we try to find the slope of a perpendicular line by finding the opposite reciprocal, we run into a problem: m⊥=−10, which is undefined.
Two nonvertical lines in the same plane, with slopes m1 and m2, are parallel if their slopes are the same, m1=m2. Often you will be asked to find the equation of a line given s...Two nonvertical lines in the same plane, with slopes m1 and m2, are parallel if their slopes are the same, m1=m2. Often you will be asked to find the equation of a line given some geometric relationship—for instance, whether the line is parallel or perpendicular to another line. Here the given line has slope m=12, and the slope of a line parallel is m∥=12.
Two nonvertical lines in the same plane, with slopes m1 and m2, are parallel if their slopes are the same, m1=m2. Often you will be asked to find the equation of a line given s...Two nonvertical lines in the same plane, with slopes m1 and m2, are parallel if their slopes are the same, m1=m2. Often you will be asked to find the equation of a line given some geometric relationship—for instance, whether the line is parallel or perpendicular to another line. Here the given line has slope m=12, and the slope of a line parallel is m∥=12.