3 years ago

How do you determine whether lines are parallel from their equations WHEN GIVEN SLOPE Y INTERCEPT FORM?

1 answer:

5 0

Y= 1/3x+2
Y= 1/3x-9

These lines are parallel because the slopes are the same that's the number with the X . They never touch

Y= -1/2x+8
Y= 2x+ 8

If the X has opposite signs and they are reciprocal of each other like -1/2 and 2/1 they are perpendicular. They cross (intersect) each other and make a 90 degree angle. Perfect L shape when they cross each other they are perpendicular

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Maurinko [17]

Answer:

see explanation

Step-by-step explanation:

Calculate the distance d using the distance formula

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with (x₁, y₁ ) = ((- 2, - 3 ) and (x₂, y₂ ) = (x, 5x + 9 )

d = $\sqrt{(x-(-2))^2+(5x+9-(-3))^2}$

= $\sqrt{(x+2)^2+(5x+9+3)^2}$

= $\sqrt{(x+2)^2+(5x+12)^2}$

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