Midpoint & Perpendicular Bisector problems to review

The equation of a line in point-slope form is given by $$y - y_1 = m(x - x_1)$$ , where m is the slope and (x_1, y_1) is a point on the line.

The slope of a line that is perpendicular to a line with slope m = 1/9 is m = -9.

Two lines are parallel if they have the same slope.

The slope-intercept form of a line is given by $$y = mx + b$$ , where m is the slope and b is the y-intercept.

The slope of a line that is parallel to a line with slope 5 is also 5.

The midpoint M is given by $$M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)$$ .

The equation of the perpendicular bisector can be found using the midpoint of the segment and the negative reciprocal of the slope of the segment.

The slope m is calculated using the formula $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ .

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

The equation of the line parallel to y = 5x - 3 that passes through (0, 4) is y = 5x + 4.