Is the line with equation y 3x 5 parallel perpendicular or

Is the line with equation y - 3x = 5 parallel, perpendicular or neither with EXPLAIN? Find the domain and range of the function shown.

Solution

Stantdard equation

y = mx + c

Line 1:

3x + y = 4

y = -3x + 4

slope of line = m1 = -1

Line 2

y - 3x = 5

y = 3x + 5

slope of line = m2 = 1

Since

m1*m2 = -1*1 = -1

lines are perpendicular.