Question

What is an equation of the line that passes through the points (4, -1)(4,−1) and (8, 5)(8,5)? Put your answer in fully reduced form.

Answer 1

Answer:

$3x - 2y - 10 = 0$

Step-by-step explanation:

When we are to find the equation of the line passing through two points, say $(x_1, y_1)$ and $(x_2, y_2)$ we use two -point form.

The two point form is as follows:

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

Here $(x_1 , y_1) = (4, -1)$ and $(x_2 , y_2) = (8, 5)$.

Therefore we have: $\frac{y + 1}{6} = \frac{x - 4}{4}$

$\implies 2y + 2 = 3x - 12$

Simplifying we get: $3x - 2y - 10 =0$.