To exterminate or eradicate completely; to put an end to something so it no longer exists (e.g., pests, practices).
その地域から伝染病を絶やすことが最優先だ。
Eradicating the infectious disease from the area is the top priority.
彼らは差別を絶やすための活動を続けている。
They continue their activities to eliminate discrimination.
作物の害虫を絶やすために薬剤を散布した。
They sprayed pesticides to get rid of crop pests.
To let (a fire) go out, to let (flowers/other living things) die, or to cause something to run out (to extinguish or let something cease).
夜中にたき火を絶やしてしまい、寒さに震えた。
We let the campfire go out during the night and shivered from the cold.
鉢植えの世話を怠り、いつの間にか花を絶やしてしまった。
I neglected the potted plants and before I knew it the flowers had died out.