Answer:
B) zero
Step-by-step explanation:
Since, the slope of the line passes through the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
[tex]M=\frac{y_2-y_1}{x_2-x_1}[/tex]
So, the slope of line m that is passing through the points (-4, 3) and (-4, 7) is,
[tex]=\frac{7-3}{-4-(-4)}[/tex]
[tex]=\frac{4}{-4+4}[/tex]
[tex]=\frac{4}{0}[/tex]
[tex]=\infty[/tex]
Now let m' is the slope of the line perpendicular to the line m,
By the property of perpendicular lines,
[tex]\infty\times m'=-1[/tex]
[tex]\implies m'=\frac{-1}{\infty}=0[/tex]
Hence, option 'B' is correct.
