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35 votes
35 votes
What is the equation of the line that passes through the point (4, 6) and has an

undefined slope?

what’s the equation

User Iceflame
by
3.0k points

1 Answer

23 votes
23 votes

Answer:

x = 4

Explanation:

You want the equation of the vertical line through (4, 6).

Undefined slope

Slope is the ratio of rise to run for a line. When the "run" is zero, that ratio becomes undefined. The "run" will be zero for any rise when the line is vertical.

Equation

The equation of such a line has the form ...

x = c . . . . . for some constant c

In order for this equation to be satisfied when (x, y) = (4, 6), the value of the constant must match the x-coordinate of the point.

The equation is x = 4.

User Gorefest
by
3.1k points