Question

What is the equation of the line that passes through the points (-2, 3) and (2, 7)?

x - y = -2
x - y = -1
x - y = - 6
x - y = - 5

Answer 1

first, can you find the slope between these 2 points (-2, 3) and (2, 7)?

Answer 2

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 3

I got 1

Answer 4

thats correct! :)

Answer 5

now, the equation when you have a slope and point is
y - y1 = m (x -x1)
where m= 1
x1 = -2, y1 = 3
just plug in values!

Answer 6

okay

Answer 7

wait, I am confused

Answer 8

confused where ?
x1 = -2, y1 = 3 ?

Answer 9

yeah

Answer 10

you can use any one of the given 2 points...
(x1,y1) = (-2,3) ---->x1 = -2, y1 = 3
or
(x1,y1) = (2,7) ---->x1 = 2, y1 = 7

Answer 11

just plug any one set in the standard form
\(\large y-y_1=m(x-x_1)\)
and simplify

Answer 12

oh okay

Answer 13

so, can u get the equation now ?

Answer 14

yea

Answer 15

if you want to verify your equation, tell me what u got...

Answer 16

I got the last one

Answer 17

bravo! you are correct :)

Answer 18

awesome! Thanks :)

Answer 19

welcome ^_^