Question

Indicate in standard form the equation of the line passing through the given point and having the given slope.

B(6, 2), m = -1/2

X + 2 y = _ _

Think you can help, @yummydum ?

Answer 1

@lgbasallote can you take this one...i gotta go :/

Answer 2

oh @saifoo.khan :D

Answer 3

Use the formula:

y - y1 = m(x-x1)

Answer 4

there u are :P

Answer 5

just use the point slope form \[y - y_1 = m(x-x_1)\]
where m is the slope
x1 is the x coordinate
y1 is the y coordinate

Answer 6

y - (2) = -1/2 (x - 6)

Answer 7

\[\implies y -(2) = -\frac 12(x-6)\]
simplify to get the final answer

Answer 8

note: standard form is \(ax^2 + bx + c = 0\)

Answer 9

o_O

Answer 10

You guys are on this like flies! Hang on, I'll try solving it...

Answer 11

Standard form:

ax + by = c

Answer 12

Actually wait, I don't think you guys understand the question. I'm supposed to be filling in boxes to complete an equation, hence the "_" in the question.

Answer 13

So @lgbasallote I think I might need more help on this.

Answer 14

i'll let my assistant @saifoo.khan help you for now :)

Answer 15

@lgbasallote ;
standard form = ax2+bx+c=0 ?

Answer 16

i gtg now. I'm heading to bed. ^_^
@lgbasallote

Answer 17

lol bed at 6 am :p

Answer 18

5! ;)

Answer 19

Gnite.

Answer 20

anyway @Sephichief plug in the values for \[y - y_1 = m(x-x_1) \] first

Answer 21

I did, and I got

y - 2 = m(x-6)

Answer 22

what's m?

Answer 23

Oh, whoops! That would be 1/2, so that makes it

y - 2 = 1/2(x-6)

Answer 24

nope it's NEGATIVE 1/2

Answer 25

\[y-2 = -\frac 12(x-6)\]

Answer 26

Oh, forgot about the negative sign

Answer 27

now what is the denominator in this equation?

Answer 28

That would be 2 I think.

Answer 29

right. so multiply all terms by 2

Answer 30

y - 4 = -1/2(x-12)

Answer 31

Then what?

Answer 32

now you recheck what you did because you made a mistake :p haha

Answer 33

here's a hint for you
\[y-1 = \frac 13 (x-1)\]
if i multiply all terms by 3 i will get
\[3y - 3 = 1(x-1)\]
\[\implies 3y - 3 = x - 1\]

Answer 34

Silly geometry and your rules...alright, would that be:

2y - 4 = -12

Answer 35

still no

Answer 36

it will be 2y - 4 = -(x-6)

Answer 37

1/2 just cancels out

Answer 38

so the parenthesis remains unchanged

Answer 39

Oh, alright.

Answer 40

Got it! The answer was x + 2y = 10. Thank you for your help!

Answer 41

welcome ^_^