Question

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

Answer 1

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

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