Question

Find a general form equation for the line through the pair of points (4,2) and (8,-2)

Answer 1

we need to apply poin slope form

Answer 2

\[y-y1=\frac{ y2-y1 }{ x2-x1 }*(x-x1)\]

Answer 3

can u do now ??

Answer 4

out of two point consider one as (x1,y1) and other one (x2,y2)

Answer 5

(4,2) (8,-2)

slope = (-2 -2) / (8 -4)

slope = -4/-4 = -1

A linear equation is written
y = mx + b

'm' is the slope and so at this point we can say the equation is
y = -x + b

Let's rewrite this as b = y +x

Let's take one of the original points (4, 2) and plug it in and we get
b = y + x
b = 6

Therefore the complete equation is
y = -x +6

(Here's a calculator to check that answer:)
http://www.1728.org/distance.htm

Answer 6

oops I made a mistake way at the top
slope = -4 / 4 = -1
Everything else is fine