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This Lesson (OVERVIEW of lessons related to the slope of a straight line) was created by by ikleyn(52781)
  About ikleyn: OVERVIEW of lessons related to the slope of a straight lineMy lessons in this site related to the slope of a straight line are - Find the slope of a straight line in a coordinate plane passing through two given points - Equation for a straight line having a given slope and passing through a given point - Solving problems related to the slope of a straight line - Equation for a straight line in a coordinate plane passing through two given points - Equation for a straight line parallel to a given line and passing through a given point - Equation for a straight line perpendicular to a given line and passing through a given point - Finding a point in a segment [AB] between endpoints A and B in a coordinate plane - Miscellaneous problems on equations of straight lines in a coordinate plane - Advanced problems on finding equations for straight lines - Math Circle level problem on finding equation of a line - A tricky problem on a parabola and a straight normal line - Equations of straight lines in 3D space List of lessons with short annotationsFind the slope of a straight line in a coordinate plane passing through two given points Problem 1. ind the slope of a straight line in a coordinate plane passing through the points (1,4) and (3,6). Problem 2. Find the slope of a straight line in a coordinate plane passing through the points (6,-1) and (-2,-4). Equation for a straight line having a given slope and passing through a given point Problem 1. Find an equation of a straight line which has the slope 2 and passes through the point (4,5). Problem 2. Find an equation of a straight line which has the slope -3 and passes through the point (-2,-4). Solving problems related to the slope of a straight line Problem 1. A straight line passes through the points A = (-5,r) and B = (1,30) and has a slope m = Find the missing value "r" of y-coordinate of the point A. Problem 2. Find y if the line through (9,3) and (-7,y) has a slope of -3/13. Equation for a straight line in a coordinate plane passing through two given points Problem 1. Find an equation of the straight line passing through the points (1,2) and (-3,5). Equation for a straight line parallel to a given line and passing through a given point Problem 1. Find an equation of the line that passes through the given point (-6,9) and is parallel to the given line y = -4x - 19. Write the equation in slope-intercept form. Problem 2. Find an equation of the line that passes through the given point (4,-3) and is parallel to the given line 2x + 3y = 7. Write the equation in standard form. Equation for a straight line perpendicular to a given line and passing through a given point Problem 1. Find an equation of the line that passes through the given point (-8,9) and is perpendicular to the given line y = -4x - 19. Write the equation in slope-intercept form. Problem 2. Write an equation in slope-intercept form for the line that passes through the given point (4,-5) and is perpendicular to the line 2x-5y= -10. Problem 3. Find an equation of the line that passes through the given point (4,-3) and is perpendicular to the given line 2x + 3y = 7. Write the equation in standard form. Finding a point in a segment [AB] between endpoints A and B in a coordinate plane Problem 1. Line segment AB has endpoints at (-5,3) and (-7,-5). What are the coordinates of its midpoint? Problem 2. The line segment joining (-5,-3) and (3,4) is to be divided into five equal parts. Find the point of division closest to (-5,-3). Miscellaneous problems on equations of straight lines in a coordinate plane Problem 1. Find the point which is equidistant from the x and the y axes and lies on the line x/2 + y/3 = 1. Problem 2. The x and y intercepts of a straight line are -4 and 5, respectively. A point M on the straight line is equidistant from the x and y axes. Determine the coordinates of the point M. Problem 3. Determine whether each pair of lines is parallel, perpendicular, or neither. (a) 3x + 4y = 12; 4x - 3y = -12; (b) y = 1; y = -1. Problem 4. Prove that if two nonvertical lines have slopes whose product is -1, then the lines are perpendicular. Advanced problems on finding equations for straight lines Problem 1. A line has an x-intercept of 3 and a y-intercept of k and passes through a point (5,8). Find k. Problem 2. Find the value of k that makes the line through (-4,k) and (-1,2k) have a y-intercept of -7. Problem 3. The line segment drawn from A(k,3) to B(4,1) is perpendicular to the segment drawn from C(-5,-6) to D(4,1). Find the value of k. Math Circle level problem on finding equation of a line Problem 1. A straight line L1 is reflected in the mirror line y = 2x to give the image L2 whose equation is y = (1/2)x+2. Find the equation of L1. Give your answer in the form ax + by = c where a, b and c are integers. A tricky problem on a parabola and a straight normal line Problem 1. The graph of the parabola y = at point A on the parabola. Find k. Equations of straight lines in 3D space Problem 1. State where possible vector or parametric equations for each of the following lines. (a) The line passing through the point P(-1,2,1) with guiding vector (3,-2,1) (b) The line passing through the point B(-2,3,0) and parallel to the line passing through the points M(-2,-2,1) and N(-2,4,7). (c) The line passing through the point Q(1,2,4) and parallel to the z-axis Use this file/link ALGEBRA-I - YOUR ONLINE TEXTBOOK to navigate over all topics and lessons of the online textbook ALGEBRA-I. This lesson has been accessed 1200 times. |
