Question

Is Y=4/5x-8 and y=-5/4+3 perpendicular?

Answer 1

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 = $\frac{4}{5}$x - 8 ← is in slope intercept form

with slope = $\frac{4}{5}$

y = - $\frac{5}{4}$ x + 3 ← is in slope- intercept form

with slope = - $\frac{5}{4}$

Now

$\frac{4}{5}$ × - $\frac{5}{4}$ = - 1

Hence the 2 lines are perpendicular