Question

Find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line, whichever you prefer.

Perpendicular to the line $y=8$

Containing the point$(3,4)$

Short answer

The equation of line is$x=3$

Step-by-step solution

Step 1. Given information

The perpendicular line is $y=8$

The point is$(3,4)$

Step 2. Finding the slope of line

Firstly, find the slope of a perpendicular line

$y=8$is the horizontal line

Since the perpendicular to the horizontal line is always vertical line and slope of vertical line will always be undefined.

So, slope is

$m=undefined$

Step 3. Finding the equation of line

The slope of the line is

$m=undefined$

The point is

$(x_1,y_1)=(3,4)$

When slope is undefined, then equation will always be x-coordinate

So, the equation of line is

$x=3$