Question

Please help me answer this with the correct answer :)

Explain your answer

I will give braisnlt :)

Answer 1

from the graph, there is point (1,3) and (-2,-3).

`slope, \: m = ((y _(2) - y _(1)))/((x _(2) - x _(1)) ) \\ m = (( - 3 - 3))/(( - 2 - 1)) \\ m = ( - 6)/( - 3) \\ m = 2 \\ from \: general \: equation \: of \: a \: line \\ y = mx + c \\ consider \: point \: (1,3) \\ 3 = (2)(1) + c \\ 3 = 2 + c \\ c = 3 - 2 \\ c = 1 \\ substitute \: for \: m \: and \: c \: in \: y = mx + c \\ y = 2x + 1`

Answer: D => y=2x+1