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6 votes
6 votes
Write the equation of the line that is parallel to line m and passes through the point (4, - 5).

User Rayiez
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1 Answer

12 votes
12 votes

The slope of the line parallel to the given line will be same as that of the given line.

Let 'm' be the slope of the line,


y-b=m(x-a)

Substitute a=4 and b=-5 in the above expression.


\begin{gathered} y-(-5)=m*(x-4) \\ y+5=mx-4m \\ y=mx-4m-5 \end{gathered}

Thus, the expression of the parallel line is y=mx-4m-5.

User Yasushi Shoji
by
3.3k points
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