Question

DOES SOMONE KNOW HOW TO DO THIS???????

Answer 1

see explanation

Explanation:

• Parallel lines have equal slopes

• The slopes of perpendicular lines are the negative reciprocal of each other

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange lines into this form

10x + 6y = 8 ( subtract 10x from both sides )

6y = - 10x + 8 ( divide all terms by 6 )

y = -
`(5)/(3)` x +
`(4)/(3)` ← line 1

with slope m = -
`(5)/(3)`

y =
`(3)/(5)` x - 7 ← line 2

with slope m =
`(3)/(5)`

3y = 5x + 2 ( divide all terms by 3 )

y =
`(5)/(3)` x +
`(2)/(3)` ← line 3

with slope m =
`(5)/(3)`

Thus

Lines 1 and 2 are perpendicular

Lines 1 and 3 are neither

Lines 2 and 3 are neither