Question

ind an equation of the line that satisfies the given conditions.
Through
(−1, −3) and (7, 5)

Answer 1

use the same approach :
y1-y=m(x1-x)
find slope (m) & write equation

Answer 2

5-(-3)=m(7-(-1))
8=m*8
m=1
y-5=1*(x-7)
y=x-7+5
y=x-2
or standard form:
x-y-2=0

Answer 3

so x-y-2=0 is the answer?

Answer 4

?

Answer 5

5-10-2=0

Answer 6

5x+10-2=0?

Answer 7

-2z

Answer 8

both are answers:
y=x-2 (slope form)
or standard form:
x-y-2=0

it's the same thing just answer presented differently; one y=... and another
expression=0
good?

Answer 9

but do i plug in the x and y intercept for x and y

Answer 10

you asked: "find an equation of the line ..."
x-y-2=0 (or y=x-2)
is equation of the line.
the two points were given to help to identify the line - line goes through those points

Answer 11

if there are no points given - there are infinite amount of lines.. right?
so, two points help you to find THE line

Answer 12

over my head.

Answer 13

i think the answer is 10x+5y-2=0

Answer 14

OK. look at the peace of paper - it's your 2 dimensional field.
1)how many lines you can draw on a peace of paper?
2)how many lines your can draw through 2 points?

Answer 15

10x+5y-2=0
can not be the answer!
put the values of x & y (your given points) in your equation -> your statement will be wrong!

Answer 16

for example
point(-1,-3) - first given point
means that x=-1 and y=-3
put this values on your equation:
10(-1)+5*(-3)-2=0
-10-15-2=0
-27=0 NOT TRUE statement
so, your equation is wrong one.
please see my solution - I put it in details for you

Answer 17

o gotcha thanks