What is the slope-intercept form of the line passing through ( 2 , 2 ) and ( 4 , 1 )

Question

What is the slope-intercept form of the line passing through (2,2) and (4,1)

Answer 1

slope = (2-1)/(2-4) = -1/2 = m

use

y-h=m(x-k) where m= -1/2 and (k,h) is either point)

use (2,2) for (k,h)

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

simplify if you want

2y-4 = -x+2

x+2y = 6

check the answer by substituting the other point (4,1)

4+2(1) = 6

6=6