Question

Find the equation of a line.

Answer 1

I know for a perp. line the slope is -1/m.

Answer 2

to find the slope convert the equation to the form y = mx + c

Answer 3

6x - 12y = 1
12y = 6x - 1
divide through by 12

can you continue?

Answer 4

Sure. I divided by 12 to get y=1/2X - 1/2

Answer 5

not quite right its y = (1/2) x - 1/12

the slope of this line is 1/2
so whats the slope of the line perpendicular line?

Answer 6

It is the reciprocal and opposite. So is that -2?

Answer 7

yes
now next step is to use the ordinates (1/2 , -2/7)

the general form we use is

y - y1 = m(x - x1)

where m = slope and (x1,y1) is the given point

Answer 8

ohhhh ok. Let me get that real fast.

Answer 9

Can you help me divide out (-2/7)Y= -1+2x?

Answer 10

y+2x=(5/7)

Answer 11

I ment + 5/7

Answer 12

lets do this step by step:
plug in y1 = -2/7, x = 1/2 and m = -2

y - (-2/7) = -2(x - 1/2)

y + 2/7 = -2x + 1

y = -2x +5/7

y + 2x = 5/7

Answer 13

Nice. So y=-2x+5/7?

Answer 14

Thank you.

Answer 15

yea - you can write it either way

or if you dont like fractions you can multiply through by 7 to give

7y + 14x = 5

Answer 16

That is very true! Can you get me started on the next one, posted above? Don't you just find the slope and pick one of those 2 points using point slope?

Answer 17

Remembering, that is, it is perpendicular?

Answer 18

yes - find slope between the 2 points, use slope of perpendicular = -1/m, then use this slope and given point to get equation as above

Answer 19

Thanks, God bless and have a great evening!

Answer 20

yw - ty