Geometry b - unit 1: coordinate geometry: slope and midpoints lessons 1-5 graded A

Geometry b - unit 1: coordinate geometry: slope and midpoints lessons 1-5 graded A lesson 1 slope and parallel lines examine the following lines and answer the question. given that line a is parallel to line b and the slope of line a is 2, what is the slope of line b? 2 line l contains the points a(-2, 2) and b(-1, 0), and line k contains the points c(0, 4) and d(1, 2) are lines l and k, parallel? justify your response. yes, both lines have a slope of -2, so they are parallel. use the diagram to answer the question. if cyrus knows that abc ~ edc and ab || ed, how can he prove that like m passing through ab has the same slope as line l passing through ed? cyrus can use properties of similar triangles to show that ac/ec = bc/dc. then, by the multiplication property of equality, ac/bc = ec/dc. by the slope formula, the slope of line m = -ac/bc and the slope of line l = -ec/dc. thus, the slopes are equal. which equation in slope-intercept form represents a line that passes through the point (5, -1) and is parallel to the line y = 2x - 7? y = 2x - 11 which equation in slope-intercept form represents a line that passes through the point (2, 3) and is parallel to the line y - 9 = 2/3(x + 7)? y = 2/3x + 5/3 allana knows that xyz ~ uvz and xy || uv. what segment relationships can allana use to prove that the slope of line l is equal to the slope of line m? allana can show that uz/xz = vz/yz using the properties of similar triangles. then, uz/vz = xz/yz by the multiplicative property of equality. so, the slopes are equal by the slope formula. which equation in slope-intercept form represents a line that is parallel to y = 1/2x - 2 and passes through the point (-8, 1)? y = 1/2x + 5 which equation in slope-intercept form represents a line that is parallel to y = -4x - 5 and passes through the point (0, 0)? y = -4x line l contains the points a(2, 2) and b(3, 6). line k contains the points c(0, 5) and d(1, 9). are lines l and k parallel? justify your response. yes, lines l and k are parallel because the slopes are equal. examine the two distinct lines defined by the following two equations in slope-intercept form. are lines l and k parallel? justify your response. yes lines l and k are parallel because their slopes are equal. lesson 2 slope and perpendicular lines use ab and cd to answer the question. ab contains the points a(2, 1) and b(3, 4) cd contains the points c(-2, -1) and d(1, -2) is ab perpendicular to cd? why or why not? yes, because the product of the slopes is -1. match each of the four lines with a line that is perpendicular to it. y = 5/6x - 7 : y = -6/5x + 1 y = -5/6x - 8 : y = 6/5x - 5 y = -7/4x - 1 : y = 4/7x + 9 y = 7/4x - 2 : y = -4/7x + 2 use