passes through (4,1) slope of -1/2

Question

Please help me awnser this question in equation form it is kinda diffuicult, please help me out. i would very great fully pay you.

Answer 1

just plug those values into the slope point equation

y-h = m(x-k) where m=the slope = -1/2, (h,k) = any point on the line, such as (4,1)

y-1 = (-1/2)(x-4)

simplify if you want, multiply by 2

2y-2 = -x +4

x+2y = 6

just to check further, plug (4,1) into x+2y = 6

4 + 2(1) = 4 + 2 = 6