Question

Indicate in standard form the equation of the line passing through the given point and having the given slope.D(5, -2) m = 2/5

Answer 1

http://www.teachhandson.com/calculationb.gif

use the slope given, use the point given \(\large (x_2, y_2)\)
plug them in the point-slope form, and solve for "y" to get the so-called "standard form"

Answer 2

Okay, we have a few numbers here...

Answer 3

The slope m
and the two numbers given by the point (a,b)

Right? :D

Answer 4

I'm really bad at math and any time my brother tries to explain it i get frustrated and storm off. i really need help as simple as possible.

Answer 5

Yes. It will be simple.
We have three numbers, the slope m
and the point (a,b)
[a and b being the numbers I describe]

Catch me so far?

Answer 6

i think so.

Answer 7

Okay, so to get the line passing through a point (a,b) and having a slope m
it has the equation...
\[\Large y = \color{green}m(x-\color{red}a)+\color{blue}b\]

Answer 8

So, just fill in the coloured values (m, a, and b) with their appropriate numbers...
For instance, the slope m is 2/5
So
replace m with 2/5
\[\Large y = \color{green}{\frac25}(x-\color{red}a)+\color{blue}b\]

Answer 9

What are your values for a and b?

Answer 10

5 and -2?

Answer 11

That's right :D
\[\large \color{red}a = \color{red}5\]\[\large \color{blue}b = \color{blue}{-2}\]

So replace a and b accordingly
\[\Large y = \color{green}{\frac25}(x-\color{red}5)+\color{blue}{(-2)}\]

Answer 12

And now just simplify :)

Answer 13

wait so whats 2/5(x-5)?

Answer 14

You distribute the 2/5 over the (x - 5)
You know, like this...
\[\Large p(q+r) = pq+pr\]

Answer 15

p(q-r) *

Answer 16

tch
same concept
\[\Large p(q-r) = pq-pr\]
:P

Answer 17

Btw don't you think this belongs in Algebra and not Geometry?
@Jhannybean ? :D

Answer 18

it probably should but this is a part of my geometry homework and im way behind :/

Answer 19

Guess so, but sometimes people get confused which section to post their questions in, or because the general "math" section has more people responding to posts.

Answer 20

Okay, no worries guys :D