Question

Input the equation of the given line in standard form.

The line including the two points (5, 3), (8, -2)

Answer 1

First, find the slope between the two points.
m = (y₂ - y₁)/(x₂ - x₁)
m = (3 + 2)/(5 - 8)
m = 5/-3 = -5/3.

Now, use point slope form, with (8, -2).

y - y₁ = m(x - x₁)
y + 2 = (-5/3)(x - 8)
y + 2 = (-5/3)x + 40/3
y = (-5/3)x + 34/3
(5/3)x + y = 34/3 ← standard form is Ax + By = C, but clear the fractions.

Multiply by 3 on both sides.

5x + 3y = 34

Answer 2

@DjNck