write the equation of the line passing through the points (0,-1) and (-3,0) and (a) the line parallel that passes through the origin (b) the line perpendicular

Question

write a equation of the line passing through the points (0,-1) and (-3,0) and (a) the line parallel that passes through the origin (b) the line perpendicular that passes through the origin. Final answer should be in slope intercept form.

Answer 1

First you need to find the slope:  (-1 - 0)/(0 - -3) = -1/3

 

a) Parallel lines have the same slope and if the line is passing through the origin (0, 0), then its y intercept is 0.  The equation of the parallel line is y = -1/3x.

 

b)  Perpendicular lines have slopes which are opposite reciprocals.  Multiplied together you will get -1.  The slope of the line that is perpendicular is 3/1 or 3.  (-1/3)*(3/1) = -1.  Your y intercept is 0 once again since it is passing through the origin.  The equation is y = 3x.