Question

What is the equation of the line passing through (2, -3) and parallel to the line y = -6x - 1 in standard form?

6x + y = 9
6x - y = -9
x + 6y = 9
x - 6y = -9

Answer 1

Do you know what parallel means?

Answer 2

Yes.

Answer 3

OK, what does it mean and what does it mean we have to do with out eqaution?

Answer 4

the lines are side by side

Answer 5

do the equations have to be similar or

Answer 6

No

Answer 7

The only similar part is their slope

Answer 8

The slopes are the same with parallel lines so that's why they never touch

Answer 9

Now you have to find the slope of y = -6x - 1, our given equation and that will give us the slope of our parallel line (since parallel lines have the same slope)

Answer 10

helpppppp:( idk howwww

Answer 11

isnt it just -6????

Answer 12

Yes, it's the number on the x

Answer 13

isnt it A

Answer 14

Now we have our slope of the parallel line (-6) and they say it passes through the point (2,-3), so we use our handy-dandy formula and plug in \[\Huge y-y_1=m(x-x_1)\]
where m=slope
(x1,y1) is a point

Answer 15

\[\Large (y-(-3))=-6(x-2)=~~~~y+3=-6x+12~~~~~~~~6x+y=9\]

Answer 16

6x+y=9

Answer 17

youre the bomb

Answer 18

So A is correct, and those are your steps!

Answer 19

And yw