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Question

Write the equation of a line that is perpendicular to x=3 and that passes through the point (0, -4)

Answer 1

X = 3 is vertical line, then perpendicular line is horizontal.

Horizontal line passing through point (0, -4) is y = -4

Answer 2

y = -4

Slope: x= 3 is a vertical line, so a line perpendicular will be horizontal and have a slope of 0.

Use the equation of a line in point slope form

y- y1 = m (x-x1)

y + 4 = 0 (x-0)

y +4 = 0

y = -4