A given line had the equation 10x+2y=-2 what is the equation, in slope intercept form, of the line that is parallel to the given line and passes through the point (0,12)

Question

asked Feb 20, 2019 209k views

1 Answer

Cristian Porta · Answer 1 · 2019-02-25T20:03:53+0000

y = - 5x + 12

the equation of a line in ' slope- intercept form ' is

y = mx + c where m is the slope and c the y- intercept

rearrange 10x + 2y = - 2 into this form

2y = - 10x - 2 ⇒ y = - 5x -1 ( with m = - 5 )

note that parallel lines have equal slopes

Thus the slope of the parallel line is m = - 5

given the line passes through ( 0 , 12 ) then c = 12

equation of parallel line is y = - 5x + 12