Question

WILL MARK BRAINLIEST !!! NEED HELP

Answer 1

Answer:

$y = -\frac{1}{3}x-2$

Step-by-step explanation:

From the table it is clear that the line is passing through the points $(0,\: -2)= (x_1, \:y_1) \: \&\: (-6, \:0)=(x_2,\:y_2)$

(There are many other points in the table and any two of them can chosen as per our convenience)

Equation of line in two point form is given as:

$\frac{y-y_1}{y_1 - y_2} = \frac {x-x_1}{x_1 - x_2} \\\\\therefore \frac{y-(-2)}{-2 - 0} = \frac {x-0}{0 - (-6)} \\\\\therefore \frac{y+2}{-2} = \frac {x}{0+6)} \\\\\therefore \frac{y+2}{-2} = \frac {x}{6)} \\\\\therefore 6(y + 2) = - 2(x)\\\therefore 6y + 12 = - 2x \\\therefore 6y = - 2x - 12\\\\\therefore y = -\frac{2}{6}x-\frac{12}{6}\\\\\huge \red {\boxed {y = -\frac{1}{3}x-2}}$