从 is where the line starts; 离 is the gap between two dots

Where the picture shows up in 从/离

1. 1

   the dot the line leaves

   我从北京来。

   wǒ cóng Běijīng lái

   I'm from Beijing.

2. 2

   the gap between two dots

   我家离公司很近。

   wǒ jiā lí gōngsī hěn jìn

   My place is close to the office.

   离 is followed by distance words like 远, 近, 多远 — never by a verb of motion.

3. 3

   the point time starts at

   从九点到六点一直在开会。

   cóng jiǔ diǎn dào liù diǎn yìzhí zài kāihuì

   I was in meetings from nine right through to six.

4. 4

   the gap still left

   离下班还有一个小时。

   lí xiàbān hái yǒu yí ge xiǎoshí

   There's still an hour to go before we finish.

5. 5

   where the route begins

   从这儿一直走就到了。

   cóng zhèr yìzhí zǒu jiù dào le

   Keep going straight from here and you're there.

   Came from home is 从家来; far from home is 离家远. Same English word, different picture.