Question

I need help with this. can somebody help?​

Answer 1

Answer:

3x - y + 5 = 0

Step-by-step explanation:

When two points are given and the equation of the line passing through those points are asked we use two - point form to determine the equation of the line.

Two - point form: $\frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 -x_1}$

Here the two points are: (2,11) & (-8,-19).

Let $(x_1,y_1) = (2,11)$ and $(x_2, y_2) = (-8,-19)$

Substituting in the formula we have:

$\frac{y - 11}{-19 - 11} = \frac{x - 2}{-8 - 2}$

$\implies \frac{y - 11}{-30} = \frac{x - 2}{-10}$

Simplifying we get:

y - 11 = 3x - 6

⇒                                       3x - y + 5 = 0