The straight line /, passes through the points A (1,-) and B (4,). i) Find the gradient of line /, ii) Show that linel, also passes through the origin (0, 0). The straight line l2 is perpendicular to line /, and passes through the point (2, 6) iii) Give the equation of line /, in the form y = mx+c iv) Determine the x-coordinate of the point of intersection between /, and I,

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 32E: There are two points on the x-axis that are located a distance of 6 units from the points 3,1....
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Question 1
The straight line l, passes through the points A (1,-) and
B (4.).
O and B (4,
i)
Find the gradient of line I,
ii)
Show that line l, also passes through the origin (0, 0).
The straight line /, is perpendicular to line /, and passes through the point (2,6)
iii)
Give the equation of line /, in the form y = mx+c
iv)
Determine the x-coordinate of the point of intersection between /, and I,
Transcribed Image Text:Question 1 The straight line l, passes through the points A (1,-) and B (4.). O and B (4, i) Find the gradient of line I, ii) Show that line l, also passes through the origin (0, 0). The straight line /, is perpendicular to line /, and passes through the point (2,6) iii) Give the equation of line /, in the form y = mx+c iv) Determine the x-coordinate of the point of intersection between /, and I,
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