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what is an equation of the line that passes through the point (8,-7) and is parallel to the line x+2y=18​

User Hiren Pandya
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1 Answer

21 votes
21 votes

Answer: The equation of line parallel to given line passing through (8,-7) is:

Explanation:

Given line is:

5x+4y=16

first of all, we have to convert the equation of given line in slope-intercept form

Dividing both sides by 4

Slope intercept form is:

The slope of given line is:

Let m1 be the slope of line parallel to given line

"The slopes of two parallel lines are equal"

The equation of line parallel to given line will be:

Putting the value of slope

Putting the point (8,-7) in the equation

Putting the value of b

Hence,

The equation of line parallel to given line passing through (8,-7) is:

User Fazeel Qureshi
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