A line passes through the points (8, 5) and (8, 2). The equation of this line is . The slope of the line is .
A) $x = 8$; undefined
B) $y = 8 ; 0$
C) $\mathrm { y } = 8$; undefined
D) $x = 8 ; 0$

Question

A line passes through the points (8, 5) and (8, 2). The equation of this line is . The slope of the line is . 
A) $x = 8$; undefined
B) $y = 8 ; 0$
C) $\mathrm { y } = 8$; undefined
D) $x = 8 ; 0$

Quizplus · Accepted Answer

The line has the same x-coordinate (8) for both points, indicating it is vertical. The equation for a vertical line is $x = a$, where $a$ is the constant x-value. Thus, the equation is $x = 8$. The slope of a vertical line is undefined because the change in y over the change in x (denominator) is 0, leading to division by zero.

A Line Passes Through the Points (8, 5) and (8 x=8x = 8x=8

A Line Passes Through the Points (8, 5) and (8 $x = 8$