Answer:
Step-by-step explanation:
If we have two lines of equations:
[tex]y = nx + v[/tex] (1)
[tex]y = mx + b[/tex] (2)
Where n is the slope of the line (1) and m is the slope of the line (2)
Then by definition it is fulfilled that if [tex]n = -\frac{1}{m}[/tex] means that the lines (1) and (2) are perpendicular
In this case the lines are:
[tex]y= -8x - \frac{5}{4}[/tex] (1)
[tex]y= \frac{1}{8}x + \frac{4}{5}[/tex] (2)
Observe that: [tex]n=-8[/tex] and [tex]m=\frac{1}{8}[/tex]
Then it is fulfilled that [tex]n = -\frac{1}{m}[/tex] because:
[tex]n =-\frac{1}{\frac{1}{8}}[/tex]
[tex]n = -8[/tex]
Therefore the lines are perpendicular
