Respuesta :

Answer:

Here both line are perpendicular because as product of slope of both lines is -1

Answer:

lines are perpendicular

Step-by-step explanation:

If 2 lines are perpendicular then the product of their slopes = - 1

The equation of a line in slope- intercept form is

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

(1)

y = [tex]\frac{3}{4}[/tex] x - 1 ← is in slope- intercept form

with slope m = [tex]\frac{3}{4}[/tex]

(2)

3y = - 4x + 6 ( divide each term by 3 )

y = - [tex]\frac{4}{3}[/tex] x + 2 ← in slope- intercept form

with slope m = - [tex]\frac{4}{3}[/tex]

Then

[tex]\frac{3}{4}[/tex] × - [tex]\frac{4}{3}[/tex] = - 1

Thus the 2 lines are perpendicular to each other

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