Respuesta :

Answer:

see explanation

Step-by-step 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 = - [tex]\frac{5}{3}[/tex] x + [tex]\frac{4}{3}[/tex] ← line 1

with slope m = - [tex]\frac{5}{3}[/tex]

y = [tex]\frac{3}{5}[/tex] x - 7 ← line 2

with slope m = [tex]\frac{3}{5}[/tex]

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

y = [tex]\frac{5}{3}[/tex] x + [tex]\frac{2}{3}[/tex] ← line 3

with slope m = [tex]\frac{5}{3}[/tex]

Thus

Lines 1 and 2 are perpendicular

Lines 1 and 3 are neither

Lines 2 and 3 are neither

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