Question

Which equation represents the line through (0, 0) and (2,5)

Answer 1

`y=(5)/(2)x`

Explanation:

• First of all, we need to find the gradient
• We can do this with
  `(\triangle y)/(\triangle x)` (
  `(change\ in\ y)/(change\ in\ x)`)
• 
  `(5-0)/(2-0)`
• 
  `(5)/(2)`
• 
  `y=(5)/(2)x+c`
• Choose one of the coordinates to find c
• I choose (2, 5)
• 
  `5=(5)/(2)* 2 + c`
• 
  `5=5+c`
• 
  `c=0`
• The equation is
  `y=(5)/(2)x`