Answer:
[tex]3x - 2y - 10 = 0 $[/tex]
Step-by-step explanation:
When we are to find the equation of the line passing through two points, say [tex]$ (x_1, y_1) $[/tex] and [tex]$ (x_2, y_2) $[/tex] we use two -point form.
The two point form is as follows:
[tex]$ \frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1} $[/tex]
Here [tex]$ (x_1 , y_1) = (4, -1) $[/tex] and [tex]$ (x_2 , y_2) = (8, 5) $[/tex].
Therefore we have: [tex]$ \frac{y + 1}{6} = \frac{x - 4}{4} $[/tex]
[tex]$ \implies 2y + 2 = 3x - 12 $[/tex]
Simplifying we get: [tex]$ 3x - 2y - 10 =0 $[/tex].
