Write equations of lines that pass through the point (-3,4)

Question

Write equations of lines that pass through the point (-3,4) and
(a) is parallel to the line x+6y=2.
(b) is perpendicular to the line x+6y=2.

Answer 1

a)  if parallel to x+6y = 2, our slope will be -1/6 (same slopes), so y-4 = (-1/6)(x+3) using Point Slope form.

 

b) if perpendicular, our slope must be 6 (negative reciprocal of line to which we're //). Answer is similar to that given in a above, but different slope is coefficient on right side of equation.

 

I hope you'll learn enough from this to be able to do similar problems on your own.