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

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

Respuesta :

mathstudent55

Answer:

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