When given line $y=2x + 3$ and point (4,2), how would you find a parallel and a perpendicular line?

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Answer 1 · 2015-11-22T20:03:32

Let say that $y=mx+b$ is the parallel to $y=2x+3$ from point $(4,2)$

Hence $2=4m+b$ where $m=2$ hence $b=-6$ so the line is

$y=2x-6$ .

The perpendicular line is $y=kx+c$ where $k*2=-1=>k=-1/2$ hence

$y=-1/2x+c$ .Because point $(4,2)$ statisfies the equation we have that

$2=-1/2*4+c=>c=4$

Hence the perpendicular is $y=-1/2x+4$

When given line y=2x + 3y=2x + 3 and point (4,2), how would you find a parallel and a perpendicular line?