Question

find the equation of the line passing through the points (2,3) and (4,1)​

Answer 1

Answer:

The formula for finding this is:

(y - ysub1) = m(x-xsub1)

First, find the slope of this line:

-1- (-3)/(4–2) = (-1+3)/(4–2) = 2/2 = 1

Now, substitute one of the ordered pairs for x and y in the equation:

(4,-1)

(y- (-1) = 1(x-4)

y+1 = x-4

Subtract 1 from both sides:

y = x-5, where m = 1

To prove this is correct, substitute x and y in this equation with both of the given ordered pairs (you only need to do it once but I prefer to do it with both :) )

(4,-1)

-1 = 4–5

-1 = -1

So that one checks out. Now for the other one:

(2,-3)

-3 = 2–5

-3 = -3

Okay, so both of the given ordered pairs work! The equation of this line is:

y = x-5

Mark me as Brainlyest Plz  ; )