Question

What Passes through (6,-3) parallel to y= -2x-5?

Answer 1

y+2x=9 is the line passing through (6,-3) parallel to y=-2x-5

Explanation:

In the question we are given with a point (6,-3) and a line
`y=-2x-5`. 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
`(y-b) = m(x-a)`.

here we have (a,b)=(6,-3) and the slope of the line is slope of
`y=-2x-5`

i.e, -2( coefficient of x).

therefore, substituting point and slope in formula we get
`y+3 = -2(x-6)`

which simplifies to
`y+3= -2x+12\\ y+2x=9` is asked line equation