Question

what is the equation of line l and m

Answer 1

show diagram ""

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Answer 2

Answer:

Let L and M be two lines which are perpendicular to each other.

Slope of line is given by m=

x

2

−x

1

y

2

−y

1

m is undefined, if denominator becomes zero i.e if the value of x-coordinate remains same at every point.

∵ L has undefined slope

⟹ value of x-coordinate remains same at every point lies on L

⟹ L is a line parallel to Y-axis and thus, its a vertical line.

Vertical and horizontal lines are perpendicular to each other.

∴ The line M which is perpendicular to line L will be parallel to X-axis.

∴ y-coordinate will be constant at every point lies on M.

∴ m=0 for M.

Hence, y=7 is the possible equation of line M.

Step-by-step explanation:

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