Question 3 Line ₁ has equation 3x + 5y - 14 = 0 and crosses the y - axis at point Y. a) Find the coordinates of point Y. b) Find the obtuse angle that line ₁ makes with the y - axis. Line 1₂ is perpendicular to line 1₁ and the two lines intersect at (8,-2). c) Find the equation of line 12. Give your answer in the form ax + by + c = 0 where a, b and c are integers.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.7: Solving Systems Of Linear And Quadratic Equations
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Question 3
Line ₁ has equation 3x + 5y - 14 = 0 and crosses the y — axis at point Y.
a) Find the coordinates of point Y.
b)
Find the obtuse angle that line 1₁ makes with the y-axis.
Line ₂ is perpendicular to line 1₁ and the two lines intersect at (8, –2).
c) Find the equation of line 1₂.
Give your answer in the form ax + by + c = 0 where a, b and c are integers.
Transcribed Image Text:Question 3 Line ₁ has equation 3x + 5y - 14 = 0 and crosses the y — axis at point Y. a) Find the coordinates of point Y. b) Find the obtuse angle that line 1₁ makes with the y-axis. Line ₂ is perpendicular to line 1₁ and the two lines intersect at (8, –2). c) Find the equation of line 1₂. Give your answer in the form ax + by + c = 0 where a, b and c are integers.
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