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.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.4: Writing And Graphing Equations Of Lines
Problem 17E: Use slope-intercept form to write an equation of a line passing through the give point and having...
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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.)
Transcribed Image Text: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.)
Expert Solution
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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