Question

write the standard form of thr equation of the line through the pair of points (3,3) and (4,3) simplify the answer.

Answer 1

To determine the equation of the line given two points, we use the formula:

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

Let the point (3, 3) be (x₁, y₁).

Let the point (4, 3) be (x₂, y₂).

Replace the variables in the formula above with their corresponding numerical value based on the given coordinates.

`y-3=(3-3)/(4-3)(x-3)`

Then, solve and simplify.

`y-3=(0)/(1)(x-3)`
`y-3=0`
`y=3`

Therefore, the standard form of the equation of the line passing through the pair of points (3,3) and (4,3) is y = 3.