Answer:
y = -2x + 8
Step-by-step explanation:
When two points are given, the equation of the line passing through the points is given by:
[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) $[/tex] are the two points passing through the line.
Here, [tex]$ (x_1,y_1) = (2,4) $[/tex] and [tex]$ (x_2, y_2) = (3,2) $[/tex].
Substituting in the formula, we have:
[tex]$ \frac{y - 4}{2 - 4} = \frac{x - 2}{3 - 2} $[/tex]
⇒ [tex]$ \frac{y - 4}{-2} = \frac{x - 2}{1} $[/tex]
⇒ y - 4 = -2x + 4
⇒ y = -2x + 8 is the required equation of the line.
