This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Consider the point and line below. Point Line (-7, 1) x + y = 8 Exercise (a) Write nequation of the line through the point parallel to the given line. Click here to begin! Exercise (b) Write an equation of the line through the point perpendicular to the given line. Step 1 Two distinct non-vertical lines are perpendicular when their slopes are negative reciprocals of each other. The slope of the required line is equal to the negative reciprocal of the slope of the line x + y = 8 which was found to be -1 In part (a). The negative reciprocal of -1 Ist m=- Step 2 The required line passes through (-7, 1). Substitute the values (x₂, ₁) = (-7, 1) and m = 1 Into the point-slope form of an equation. Y - Y₁ = m(x - x₂) Submit Skip (you cannot come back)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.3: Parallel And Perpendicular Lines
Problem 31PPS
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Please solve Step 2 ASAP. Thanks 

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.
Consider the point and line below.
Point
Line
(-7, 1)
x + y = 8
Exercise (a)
Write nequation of the line through the point parallel to the given line.
Click here to begin!
Exercise (b)
Write an equation of the line through the point perpendicular to the given line.
Step 1
Two distinct non-vertical lines are perpendicular when their slopes are negative reciprocals of each other. The slope of the required line is equal to the negative reciprocal of the slope of the line x + y = 8 which was found to be -1 In part (a).
The negative reciprocal of -1 Ist
m=-
Step 2
The required line passes through (-7, 1).
Substitute the values (x₂, ₁) = (-7, 1) and m = 1 Into the point-slope form of an equation.
Y - Y₁ = m(x - x₂)
Submit Skip (you cannot come back)
Transcribed Image Text:This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Consider the point and line below. Point Line (-7, 1) x + y = 8 Exercise (a) Write nequation of the line through the point parallel to the given line. Click here to begin! Exercise (b) Write an equation of the line through the point perpendicular to the given line. Step 1 Two distinct non-vertical lines are perpendicular when their slopes are negative reciprocals of each other. The slope of the required line is equal to the negative reciprocal of the slope of the line x + y = 8 which was found to be -1 In part (a). The negative reciprocal of -1 Ist m=- Step 2 The required line passes through (-7, 1). Substitute the values (x₂, ₁) = (-7, 1) and m = 1 Into the point-slope form of an equation. Y - Y₁ = m(x - x₂) Submit Skip (you cannot come back)
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