Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (-1,6) and parallel to x+2y = 7. 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.)
Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (-1,6) and parallel to x+2y = 7. 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.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.3: Parallel And Perpendicular Lines
Problem 31PPS
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Step 1
Given equation is
X+2y=7
y=-1/2x+7/2
Where m=-1/2
Let the equation of line parallel to the line x+2y=7 is
y =m1x+b
Both equation are parallel then m1=m
m1=-1/2
the line passing through the point (-1,6)
6=-1/2 x-1+b
b=6-1/2
b=11/2
Then the equation is
y=-1/2x+11/2
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