Answer:
[tex]y + 2 = - (x - 4)[/tex]
Step-by-step explanation:
The graph passes through: (0,2) and (2,0)
The slope is
[tex] \frac{0 - 2}{2 - 0} = - 1[/tex]
The equation of the line in point-slope form is given by:
[tex]y-y_1=m(x-x_1)[/tex]
The graph passes through (4,-2).
We substitute the slope and this point to get:
[tex]y - - 2 = - 1(x - 4)[/tex]
[tex]y + 2 = - (x - 4)[/tex]
The first option is correct
