Question

Write an equation for the line in point-slope form and then convert it to standard form. through (2, 3) and (3,5)​

Answer 1

equation of the line: 2x - y = 1

Explanation:

Given coordinates: (2, 3) and (3,5)​

find slope of the equation:

• 
  `(y2-y1)/(x2-x1)`

using the formula:

→
`(5-3)/(3-2)`

→
`2\\` .............this is slope, also refereed as (m) in short form.

using the equation formula:

• y - y1 = m ( x - x1 )

using the formula:

→ y - 3 = 2 ( x - 2 )

→ y - 3 = 2x - 4

→ y = 2x -4 +3

→ y = 2x - 1

→ -2x + y = -1

→ (-2x + y)/-1 = -1 /-1 [ divide both sides by -1 ]

→ 2x - y = 1 .......final answer in standard form where ( Ax + By = C ) where "A" should be positive and "C" constant on the right hand side.