What equation represents the road that passes through the point shown and is perpendicular to the road represented by the red line?

y = -1/3 x + 1/3

Step-by-step explanation:

The red line passes through points (0, 2) and (2, 8).

The slope of the red line is (8 - 2)/(2 - 0) = 6/2 = 3

The slope of the perpendicular line is -1/3, and it passes through point (1, 0).

y = mx + b

y = -1/3 x + b

0 = (-1/3)(1) + b

b = 1/3

y = -1/3 x + 1/3