Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

A is the point (8,3) and B is the point (12, 1).

Find the equation of the line, perpendicular to the line AB, which passes through the point (0,0).

Sagot :

Answer:

y = 2x

Step-by-step explanation:

calculate the slope of AB using the slope formula

m = [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A (8, 3) and (x₂, y₂ ) = B (12, 1 )

[tex]m_{AB}[/tex] = [tex]\frac{1-3}{12-8}[/tex] = [tex]\frac{-2}{4}[/tex] = - [tex]\frac{1}{2}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2

the equation of a line passing through the origin (0, 0 ) is

y = mx

here m = 2 , then

y = 2x ← equation of perpendicular line

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.