Hi I need help knowing how to do question 17 :)

Answer:x + y - 3 = 0Step-by-step explanation:The equation of a line when two points are given, it is given by the formula:[tex]$ \frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1} $[/tex]where [tex]$ (x_1,y_1) $[/tex] and [tex]$ (x_2,y_2) $[/tex] are the two points passing through the line.The two given points are: [tex]$ (x_1,y_1) = (-2,5) $[/tex][tex]$ (x_2,y_2) = (5,-2) $[/tex]Substituting the points in the formula, we get[tex]$ \frac{y - 5}{-2 -5} = \frac{x + 2}{5 + 2} $[/tex][tex]$ \implies \frac{y - 5}{-7} = \frac{x + 2}{7} $[/tex][tex]$ \implies y - 5 = -x - 2 $[/tex][tex]$ \implies x + y - 3 = 0 $[/tex]Therefore, the equation of the line passing through the two given points is x + y - 3 = 0.