Answer:
y+2x=9 is the line passing through (6,-3) parallel to y=-2x-5
Step-by-step explanation:
In the question we are given with a point (6,-3) and a line [tex]y=-2x-5[/tex]. we have to find the line passing through given point and parallel to given line.\
formula used: equation of a line passing through a point(a,b) with slope m is given by [tex](y-b) = m(x-a)[/tex].
here we have (a,b)=(6,-3) and the slope of the line is slope of [tex]y=-2x-5[/tex]
i.e, -2( coefficient of x).
therefore, substituting point and slope in formula we get [tex]y+3 = -2(x-6)[/tex]
which simplifies to [tex]y+3= -2x+12\\ y+2x=9[/tex] is asked line equation
