Choose the equation of the line passing through the point (2, -4) and parallel to y = 3x - 6.

A. y = 3x - 10

B. y = 3x - 6

C. y = 3x - 2

D. y = 3x - 12

Question

Choose the equation of the line passing through the point (2, -4) and parallel to y = 3x - 6.

A. y = 3x - 10

B. y = 3x - 6

 C. y = 3x - 2

 D. y = 3x - 12

anonymous · Answer

You would have the same slope, which is "m = 3".  Also, you would use the point-slope form for the equation of a line:$$y - y _{1} = m(x - x _{1})$$where you have been given the point:$$(x _{1}, y _{1})$$Make the substitutions for "m" and the given point.  Then put the equation into slope-intercept form.  Write that out here now.

anonymous · Answer

A?
Because you have to plug in -4 then add four to each side.... Then if you do that you get 10

anonymous · Answer

You can do it that way     IF . . . you are given choices.

That's a good way to do this problem if you a taking a test and time and speed count.  But if you were given no choices and had to figure it out, then you have to use the above systematic approach.

anonymous · Answer

I know. Thanks so much!

anonymous · Answer

uw!  Good luck to you in all of your studies and thx for the recognition!  @aleximhappy08

anonymous · Answer

no prob!

magbak · Answer

If you may excuse me and I mean no disrespect but a much easier way is just to know that if a line is parallel then the slope is the same and if it is perpendicular then it is the negative reciprocal. Then you just impute the values of  x and y in the equation and find the equation that grants the question true.

anonymous · Answer

okay thanks! @magbak

magbak · Answer

Welcome always happy to help.