But heres the formulas for a perpendicular, and parallel line.

To find a parallel line, you simply change the constant.

For example: lets say you want to find a line perpendicular to the line y=5x+8.

Now, we just change the number where 8 is, we can make it negative as well. Just some examples: y=5x+2; y=5x+3; y=5x-7…etc.

For a perpendicular line you need to find the slope and take the negative reciprocal of it.

Or let me slow this down a bit.

Lets say you wanted to find a line parallel to y=2/6x+8

Well first you find the reciprocal of the slope (2/6 becomes 6/2)

then you make it negative ( -6/2 which simplifies to – 3)

Meaning that y=-3x+8 is perpendicular to y=2/6x+8 You make change the term without an x if you want though.

Now, I only have enough time to help you with problem 3.

you fill this in the following equation:

you know that an equation (y= mx+b.)

well, it already gave us m, x, and y

m= -2 ( it had already given us the slope)

x= -1 (its the x coordinate)

y=6…because it gave us the y coordinate

now we plug that in.

6= -2(-1)+b

6=2+b

4=b

So we know know that the equation for that line is y=-2x+4.

Next, we simply use the same formula again

I’m just gonna shorthand this part, I’m pretty sure i explained it well earlier.

6=-1/2(-1) +b

6=1/2+b

5 1/2 =b

so now we know that the equation of the second line is y=-1/2x+5 1/2

Good luck with the rest from other answerers!

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