If the point of intersection of the lines y = 3x + a and y + 2x = b is D(2,5). i) Find the values of a and b. a = b = ii) If the line y = mx + c is perpendicular to y + 2x = b and passes through the point E(6, 0), find the gradient m and the y-intercept c. m= C = iii) Find the coordinates of the midpoint of DE:

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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If the point of intersection of the lines y = 3x + a and y + 2x = b is D(2,5).
i) Find the values of a and b.
a =
b =
ii) If the line y = mx + c is perpendicular to y + 2x = b and passes through the point E(6, 0), find the gradient m and the y-intercept c.
m=
C=
iii) Find the coordinates of the midpoint of DE: (
Transcribed Image Text:If the point of intersection of the lines y = 3x + a and y + 2x = b is D(2,5). i) Find the values of a and b. a = b = ii) If the line y = mx + c is perpendicular to y + 2x = b and passes through the point E(6, 0), find the gradient m and the y-intercept c. m= C= iii) Find the coordinates of the midpoint of DE: (
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