Question

Write an equation of the line below.

Answer 1

could you recognize the co-ordinates of those 2 points ?

Answer 2

(0,-1) (5,-3) ?

Answer 3

correct! :)
can you find the slope given 2 points?

Answer 4

I don't think so...

Answer 5

The slope of the line through points (x1,y1) and (x2,y2) is given by :
\(\huge m=\frac{y_1-y_2}{x_1-x_2}\)
now,just put the values and find m.

Answer 6

so if the directions are to "write an equation of the line below" the answer would be that ...formula... with those coordinates inserted?

Answer 7

nopes, thats just slope,
the point slope form of equation of line is
\(\large y-y_1=m(x-x_1)\)

so you will need m=slope first

Answer 8

when you inserted co-ordinates, what did you get m=slope as ?

Answer 9

i have no idea

Answer 10

(0,-1) (5,-3)

x1 = 0, y1 = -1
x2 = 5, y2 = -3
just put these in slope formula!

Answer 11

m= 2/-5

Answer 12

correct! m = -2/5
and x1=0, y1 = -1
just plug these 3 values in
\(\large y-y_1=m(x-x_1)\)

Answer 13

5 or -5?

Answer 14

lol ... wait...

Answer 15

2/-5 and -2/5 are same

Answer 16

-1--3=-2/5(0-5) ... that doesn't look right... :(

Answer 17

keep y as y only
y - (-1) is the left side,
got this ?

Answer 18

y = -1 ...

Answer 19

no :(

Answer 20

oh wait ok

Answer 21

y- -1=-2/5(x-0) still doesn't look right...

Answer 22

y- (-1) = y+1
and right side = -2x/5

Answer 23

y+1 = -2x/5
or
5(y+1) = -2x
or
5y +5 =-2x
getting this ?

Answer 24

no :(

Answer 25

y- (-1) = y+1
and right side = -2x/5
this ?

Answer 26

there ? what specifically did u not get ?

Answer 27

i get the coordinates, after that I'm lost

Answer 28

you got the slope too, right ?

Answer 29

yeah.. now i'm not sure it's negative... is it definitely -2/5 and not 2/5?

Answer 30

yes, m= -2/5
now we just plug in values
m = -2/5
and x1=0, y1 = -1
just plug these 3 values in
y−y1=m(x−x1)

Answer 31

y--1=-2/5(x-0)

Answer 32

yeah, so you got this much right ?
so,
y +1 = -2x/5
multiply 5 on both sides. what u get ?

Answer 33

I dont know where to multiply 5, 5y+1? y+5? 10/5?

Answer 34

y +1 = -2x/5

5 (y+1) = -2x/5 *5
5y +5 = -2x

got this ?