Posted by **Anonymous** on Tuesday, June 7, 2011 at 7:25am.

What is the equation for a line in slope intercept form passing through (2,11) and perpenduclar to y =4

- math -
**MathMate**, Tuesday, June 7, 2011 at 7:43am
y=4 is a horizontal line, since the slope is zero, i.e.

y=0x+4.

A line perpendicular to a horizontal line is vertical.

The equation for a vertical line is

x=k

If the line passes through (2,11), then k=2.

Therefore the required line is x=2.

- math -
**drwls**, Tuesday, June 7, 2011 at 7:48am
y = 4 is a horizontal line. A line prependicular to it will be vertical, which means that x must be constant. The "slope" m of a vertical line is infinity.

Therefore the equation for the line is x = 2, regardless of the value of y. Slope-intercept format cannot be used when the slope is infinite.

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