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

equation of the line: 2x - y = 1

Step-by-step explanation:

Given coordinates: (2, 3) and (3,5)

find slope of the equation:

using the formula:

→

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

using the equation formula:

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.

First of all We need to find the slope with the given coordinates and then write the equation in standard form...

Finding the slope

Move the variable to the left-hand side and change its sign

Use the commutative property to reorder the terms

Change the signs on both sides of the equation