Lines and Coordinate Geometry

Part 1 - Lines and Coordinate Geometry Algebra Concepts Geometry Concepts Slope-intercept form of a line y = mx + b Midpoint formula ($14xz yity2) Standard form of a line Ax + By = C Point-slope form of a line y - y1 = m(x - x1) Distance formula d = V(x1 - x2)2 + ( y1 - yz)2 Perpendicular bisector - a perpendicular line passing Slope of a line m = 12-y1 X2 - X1 through the midpoint of a segment. Altitude of a triangle - a segment from a vertex perpendicular to the opposite side. 1) Write an equation of the line in slope-intercept form that passes through (2,1) and (1,6). 2) Write the equation of the line parallel to the line y = x + 1 in point-slope form passing through the point (-10,2). 3) Write the equation of the line in slope-intercept form passing through the point (2, -4) and perpendicular to the liney = =x -7 4) Find the distance between the points and then find the midpoint of the segment that joins them. a) (0,8) and (6,16) b) (-2,5) and (10,0)