Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Determine if the lines are parallel perpendicular or neither x-3y=15 and y=-3x+4

Sagot :

eunice1234

Answer: Perpendicular

Step-by-step explanation:

Convert both equations into slope-intercept form

[tex]y=-3x+4[/tex] ⇒ [tex]y=-3x+4[/tex]

[tex]x-3y=15[/tex] ⇒ [tex]y=\frac{1}{3} x-5[/tex]

Determine the slope of each equation

[tex]y=-3x+4[/tex]: SLOPE = -3

[tex]y=\frac{1}{3} x-5[/tex]: SLOPE = 1/3

When two lines are parallel to each other, their slopes will be the same. However, since -3 does not equal 1/3, they are not parallel

[tex]-3\neq \frac{1}{3}[/tex]

When two lines are perpendicular to each other, the product of their slopes will be -1. Since -3 multiply by 1/3 is -1, they are perpendicular to each other.

[tex](-3)*(\frac{1}{3} )=-1[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.