Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
The equation of the line that passes through the points (-3,-1) and (6,2) is x - 3y = 0 OR x = 3y
Determining the equation of a line
From the question, we are to determine the equation of the line that passes through the given points
The given points are (-3, -1) and (6, 2)
Using the formula,
(y - y₁) / (x - x₁) = (y₂ - y₁) / (x₂ - x₁)
Then,
(y - (-1)) / (x - (-3)) = (2 - (-1)) / (6 - (-3))
Simplify
(y + 1) / (x + 3) = (2 + 1) / (6 + 3)
(y + 1) / (x + 3) = 3/9
(y + 1) / (x + 3) = 1/3
Cross multiply
3(y + 1) = 1(x + 3)
3y + 3 = x + 3
Thus,
x + 3 = 3y + 3
x - 3y = 3 - 3
x - 3y = 0
Hence, the equation is x - 3y = 0
Learn more on Equation of a line here: https://brainly.com/question/21967006
#SPJ1
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.
