Find the equation of the line that is perpendicular to the line x = −5 and passes through the point (1, 3.14).

y = 3.14

Explanation:

Given the line x = -5

x = -5 represents a vertical line

A line perpendicular to the vertical line x=-5 will be an horizontal line.

Given the points (1, 3.14)

x = 1, y = 3.14

According to the slope intercept equation;

y = mx + c

Where, c = intercept, m = slope

Horizontal lines have a slope of 0,

Therefore,

y = 0(1) + 3.14

y = 3.14

Therefore, equation of the line which is perpendicular to x = -5 and passes through the point (1, 3.14) is y = 3.14

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