Write an equation of a line parallel to y = 2 over 3x −5 in slope-intercept form that passes through the point (−6, −1).

y= 2 over 3x + 3
y= 2 over 3x − 6
y= −3x − 1
y= 3x + 6

Question

Write an equation of a line parallel to y = 2 over 3x −5 in slope-intercept form that passes through the point (−6, −1).

 y=  2 over 3x + 3
 y=  2 over 3x − 6
 y= −3x − 1
 y= 3x + 6

aripotta · Answer

parallel lines have the same slope. what is the slope of the given line?

misty1212 · Answer

$$\huge y =\color{red}{\frac{2}{3}}x-5$$

misty1212 · Answer

like that?

anonymous · Answer

Yes

aripotta · Answer

so what's the slope?

misty1212 · Answer

hint: it is big and red !

anonymous · Answer

Im Not Sure.

anonymous · Answer

Oh Okay Lol Thanks!

aripotta · Answer

so we know our answer will have a slope of 2/3, and go through the point (-6, -1). we can plug that information into point-slope form, which is 

y - y1 = m(x - x1) 

where y1 is the y-coordinate of the point, x1 is the x-coordinate of the same point, and m is slope 

what do you get once you plug that in?

anonymous · Answer

Im Confused Of How To Plug It In

anonymous · Answer

@aripotta

aripotta · Answer

"plugging in" is just another word for substitute

aripotta · Answer

so for m, we'll "plug in" 2/3. get it?

anonymous · Answer

Yes I Know That But Im Confused Of The Order To Plugging It In.

aripotta · Answer

what's y1?

aripotta · Answer

our point is (-6, -1). y1 is the y part of that point. and x1 is the x part of that point.

aripotta · Answer

points are in the form of (x,y)...

aripotta · Answer

are you there? @jaygamble