Question

What is the equation of the line that passes through the points (0,2) and (2,4)?

Answer 1

Explanation:

`\underline{ \underline{ \text{Given \: points}}} :`

• ( 0 , 2 )
• ( 2 , 4 )

Let the points ( 0 , 2 ) and ( 2 , 4 ) be A and B respectively. Let A ( 0 , 2 ) ⤑ ( x₁ , y₁ ) & B ( 2 , 4 ) ⤑ ( x₂ , y₂ ). Now , Using two point form of the equation of striaght line , we have :

• 
  `\boxed{ \sf{ y - y_(1) = (y_(2) - y_(1))/(x_(2) - x_(1)) (x - x_(1))}}`

Plug the values :

⟶
`\tt{y - 2 = (4 - 2)/(2 - 0) (x - 0)}`

⟶
`\tt{y - 2 = (2)/(2) x}`

⟶
`\tt{y - 2 = x}`

⟶
`\tt{0 = x - y + 2 }`

`\pink{ \boxed{ \boxed{ \bold{ \tt{our \: final \: answer : \boxed{ \underline{ \tt{x - y + 2 = 0}}}}}}}}`

Hope I helped ! ツ

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