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Write the equation for a line that is parallel to the line y = 5 and passing through the point (18, −7).

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5 votes

Answer:

y= -7

Explanation:

Given line: y= 5

y= 0x +5

This means that it has a gradient of zero and it is a horizontal line.

Parallel lines have the same gradient and hence the line that we are looking for also has a gradient of zero, and would be written in the form of y= c, where c is an integer.

Since the line passes through the point (18, -7), the equation of the line is y= -7.

y= 0x +c

When x= 18, y= -7,

-7= 0(18) +c

-7= c

c= -7

Thus, the equation of the line is y= -7.

User Pawan Maheshwari
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