Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (1,7) and perpendicular to 2x + 7y = 1. ...... a) The equation of the line in slope-intercept form is. (Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.) b) The equation of the line in standard form is. (Type your answer in standard form.)
Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (1,7) and perpendicular to 2x + 7y = 1. ...... a) The equation of the line in slope-intercept form is. (Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.) b) The equation of the line in standard form is. (Type your answer in standard form.)
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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Transcribed Image Text:Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (1,7) and perpendicular to 2x +7y = 1.
a) The equation of the line in slope-intercept form is
(Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)
b) The equation of the line in standard form is
(Type your answer in standard form.)
Expert Solution
Step 1
We have to find an equation of that line which passes through (1, 7) and perpendicular to the 2x+7y=1
So equation of lines perpendicular to the 2x+7y=1 is given as follows
7x-2y+c=0 .......... (1)
Since line also passes through the point (1, 7) so this point must be satisfy the equation (1)
7×1-2×7+c=0
Or c =7
Now put c=7 in equation (1) we get
7x-2y+7=0
Above line is the equation of required line in standard form
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