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21. Find an equation of the line that has x-intercept (-5,0) and is9parallel to 4x-3y 12.4 20b) y-x-54 203 1534d)

Question
21. Find an equation of the line that has x-intercept (-5,0) and is
9
parallel to 4x-3y 12.
4 20
b) y-x-5
4 20
3 15
3
4
d)
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21. Find an equation of the line that has x-intercept (-5,0) and is 9 parallel to 4x-3y 12. 4 20 b) y-x-5 4 20 3 15 3 4 d)

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Step 1

Equations of parallel lines are of the form 

Given, required equation of line is parallel to 4x-3y = 12

Hence, the required equation of line is of the form 4x-3y = c

Given (-5,0) is the x-intercept of the required line.

Hence, the point satisfies the equation.

 

Plugging the point in the equation,

 

Hence, c = -20

 

Hence, the equation of the line that has x-intercept (-5,0) and is parallel to 4x-3y = 12 is 4x-3y = -20

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Step 2

Rewriting the equation of the required line:

 

Therefore, the equation of the line that has x-intercept (-...

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