Question

Line m passes through the points (-4, 3) and (-4, 7). What is the slope of the line that is perpendicular to line m?

A.)-4
B.)zero
C.)undefined

Answer 1

the answer to the question is b. 0

Answer 2

B) zero

Explanation:

Since, the slope of the line passes through the points
`(x_1,y_1)` and
`(x_2,y_2)` is,

`M=(y_2-y_1)/(x_2-x_1)`

So, the slope of line m that is passing through the points (-4, 3) and (-4, 7) is,

`=(7-3)/(-4-(-4))`

`=(4)/(-4+4)`

`=(4)/(0)`

`=\infty`

Now let m' is the slope of the line perpendicular to the line m,

By the property of perpendicular lines,

`\infty* m'=-1`

`\implies m'=(-1)/(\infty)=0`

Hence, option 'B' is correct.