Find the coordinates of the image of R (2, 1) after the translation (x, y) → (x, y − 5).
1 answer:
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To start, the equation has to be converted to slope-intercept form, or . Start by subtracting x from both sides;
,
. Switch 4 and -x around to conform to the formula;
. Then divide by 2 to isolate y;
. This is the final equation. Because the slope of a line perpendicular is always the opposite reciprocal (i.e. The opposite reciprocal of 4 is
, the opposite reciprocal of
is 5) the opposite reciprocal of
is 2. So the equation of the line is
, and the answer is A.