Answer:
yes
Step-by-step explanation:
The product of the slopes of perpendicular lines = - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{4}{5}[/tex]x - 8 ← is in slope intercept form
with slope = [tex]\frac{4}{5}[/tex]
y = - [tex]\frac{5}{4}[/tex] x + 3 ← is in slope- intercept form
with slope = - [tex]\frac{5}{4}[/tex]
Now
[tex]\frac{4}{5}[/tex] × - [tex]\frac{5}{4}[/tex] = - 1
Hence the 2 lines are perpendicular
