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Use conditional rendering like this:
<span :style="todo.completed ? 'text-decoration: line-through' : ''">{{todo.title}}</span>
Take a look at this simple mock-up: Vue Playgound
<script setup>
import { ref } from 'vue'
const todos = ref([
{title: "Milk", completed: true},
{title: "Bread", completed: false},
{title: "Cheese", completed: true},
{title: "Chicken", completed: false},
])
</script>
<template>
<template v-for="todo in todos" :key="todo.title">
<p>
<input type="checkbox" v-model="todo.completed" /> <span :style="todo.completed ? 'text-decoration: line-through' : ''">{{todo.title}}</span>
</p>
</template>
</template>
Source:stackexchange.com