The line through (2,y) and (1,-4) is perpendicular to a line with slope (1)/(2) . Find y .

Name: the line through (2,y) and (1,-4) is perpendicular to a line with slope (1)/(2) . find y .
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Question

The line through (2,y) and (1,-4) is perpendicular to a line with slope (1)/(2) . Find y .

Answer 1

1. The slope of a line perpendicular to a line with slope

is

.2. Using the point-slope form of a line and the point (1,-4), we derived the equation

.3. Plugging in the x-coordinate of the point (2,y) into the equation, we found that y = -6.

Question

The line through (2,y) and (1,-4) is perpendicular to a line with slope (1)/(2) . Find y .

Solution

Answer

Explanation