The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line? y = -2x + 6 y = 13x – 6 y = 3x – 2 y = 13x – 2

Answer:[tex]$ 2x - 3y - 6 = 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) $[/tex] we use the  two -point form. The two point form is as follows:        [tex]$ \frac{y - y_1} {y_2 - y_1} = \frac{x - x_1}{x_2 - x_1} $[/tex]Here, [tex]$ (x_1 , y_1) = (0 , -2) $[/tex] and [tex]$ (x_2, y_2) = (6 , 0) $[/tex].Therefore we have: [tex]$ \frac{y + 2}{0 + 2} = \frac{x - 0}{6 - 0} $[/tex][tex]$ \implies \frac{y + 2}{1} = \frac{x}{3} $[/tex][tex]$ \implies 3y + 6 = x $ $ \implies x -3y + 6 = 0$ [/tex]