A line L in the xy-plane has x-intercept 3 and y-intercept 1. Find the reflection (image) of the point (-1, -4) in this line.

(8/5, 29/5)
(29/5, 11/5)
(11/5, 28/5)
(29/5, 8/5)

Correct answer: (11/5, 28/5)

Solution

The line x + 3y - 3 = 0 (from intercept form) gives image of (-1,-4) as (11/5, 28/5) using the standard reflection formula.

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