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:

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

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.

$y-3=\frac{3-3}{4-3}(x-3)$

Then, solve and simplify.

$y-3=\frac{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.