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Rain equation for the line that is parallel to the given line and that passes through the given point

Rain equation for the line that is parallel to the given line and that passes through-example-1
User Sheri Trager
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1 Answer

23 votes
23 votes

From the properties of line

If two lines are parallel, then thier slope are equal.

The general equation of line with slope m is; y = mx + b

The given equation of line us y = -5x + 3, slope of the given line is (-5)

The line is passes through the point (-6,3) and slope (-5)

The general equation of line is;


y-y_1=m(x-x_1)

Substitute the coordinates as;


x_1=-6,y_1=3

Thus;


\begin{gathered} y-y_1=m(x-x_1) \\ y-3=-5(x+6) \\ y-3=-5x-30 \\ y+5x-3+30=0 \\ 5x+y+27=0 \\ y=-5x-27 \end{gathered}

Answer : y = -5x - 27

,,,

User Umesh Chauhan
by
2.7k points
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