Write an equation of the line that passes through the point (-4,-1) and is (a) parallel to and (b) perpendicular to the line 2x + 7y = 14.

Question

bibby · Answer

re arrange the line 2x + 7y = 14.
7y = -2x+14
y = (-2/7)x+2
you know your slop is going to be the negative reciprocal of the slope in that line

anonymous · Answer

Is the first answer to parallel

bibby · Answer

the first answer has the slope -2/7 but the equation looks different

anonymous · Answer

Okay but is the first answer the answer to (a)?

bibby · Answer

y=mx+b

-1=7/2 * -4+b
b=-1-(7/2)(-4). b=13.
y=7/2x+13

anonymous · Answer

Alright, is that the parallel?

bibby · Answer

no. look at the slopes. that is the negative reciprocal of the slope given. Perpendicular

bibby · Answer

$$y= \frac{ -2 }{ 7? }x-\frac{ 15 }{ 7 }$$

anonymous · Answer

Okay well this means....I'm one step closer to finishing my time machine. Thank you random citizen.

bibby · Answer

I love you too