Give the slope of each line and the determine whether the tw

Give the slope of each line and the determine whether the two lines are parallel, perpendicular, or neither parallel or perpendicular. Separate answers with a comma.

3x5y=1

5x+3y=2

Solution

Two lines are

(a) 3x5y=1

(b) 5x+3y=2

for (a)  3x5y=1

change the equation into the standard form

first solve for y = (3x + 1) / 5

which gives slope m1 = 3/5

y; intersept (b) is (1/5)

for (b) 5x+3y=2

change the equation into the standard form

first solve for y = (-5x + 2) / 3

which gives slope m2 = -5/3

y; intersept (b) is (2/3)

Relatiomn b/w the slope is

Property = Lines that are perpendicular have negative reciprocal slopes.
(such as m = 2 with m = -1/2)

similarly m1 = 3/5 , m2 = -5/3

Answer