Question

I WILL MEDAL AND FAN!
PLEASE!

Answer 1

What is the equation in point−slope form of the line passing through (−2, −5) and (2, 3)?

Answer 2

Find the equation of the line which passes through the points (5, –3), (9, –3) in the point–slope form. A line passes through (3, 2) and its slope . Write an equation for the line in the form Ax + By = C. A line passes through (–3, –7) and its slope .

Answer 3

when you are given any 2 points say \(\large (x_1,y_1)\) and \((x_2,y_2)\) then the equation of line passing through them is given liek this-

\(\Large \frac{y-y_1}{y_2-y_1}=\frac{x-x_1}{x_2-x_1}\)

1st find the equation of line using this

Answer 4

so -5 - 3 and -2- 2?

Answer 5

@imqwerty ?

Answer 6

i didn't get you?

Answer 7

I don't understand

Answer 8

@imqwerty Thanks for nothing

Answer 9

okay we will go step by step
be nice :)

Answer 10

the 2 points given to us are-> \(\large (-2,-5)\) and \(\large (2,3)\)

now we have to use this -> \(\Large \frac{y-y_1}{y_2-y_1}=\frac{x-x_1}{x_2-x_1}\) to get the equation of the line

u gotta figure out \(x_1,x_2,y_1~and~y_2\) to get the equation of your line

can you find these?:)

Answer 11

y-(-5) x-(-2)
----- = ------ is what i got
8 4

Answer 12

yes correct :) now try to simplify it

Answer 13

...

Answer 14

How do you simplify

Answer 15

okay well our main objective is to find the point slope form of the given line

and the point slope form is given like this-> \(\Large y=mx+c\)

where \(m\) is the slope
and \(c\) is the y intercept of the line

well now we have the equation of our line and to convert it into the point slope form we just need to isolate \(y\) :)
so just isolate \(y\)

Answer 16

I have no idea. They're both in fraction form. How am i supposed to simplify that.

Answer 17

kokay we have this->
\(\Large \frac{y-(-5)}{8}=\frac{x-(-2)}{4}\)

1st we open the brackets
\(\Large \frac{y+5}{8}=\frac{x+2}{4}\)

now 1st we remove that \(8\) from the denominator
try multiplying both sides by 8 tell me what u get :)

Answer 18

y-(-5)= 8x-(-16)
--------
32

Answer 19

no thats wrong
we had this-\(\Large \frac{y+5}{8}=\frac{x+2}{4}\)

after multiplying by 8 on both sides we get this->
\(\Large \frac{y+5}{8} \times 8=\frac{x+2}{4} \times 8\)

\(\Large y+5=(x+2) \times 2\)

so we will get this^
now try to isolate \(y\)

Answer 20

y= -5 (x+2)^2

Answer 21

no thats bit wrong
it will be this->
\(y=-5+(x+2) \times 2\)

which can be simplified as follows-
\(y=-5+2x+4\)
\(y=2x-1\)

and this is the required point slope form :)

Answer 22

Thats the answer?

Answer 23

(y + 2) = −2(x + 5)
(y − 2) = 2(x − 3)
(y − 3) = 2(x − 2)
(y + 3) = −2(x + 2)

These are my choices/

Answer 24

oh damn i did it in point intercept form
anyways
just simplify the options and isolate y and the one which gives \(y=2x-1\) is the solution

Answer 25

So which of the choices is that?

Answer 26

@imqwerty