IsabellaFlores1208
Answered

Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

PLEASE HELP WILL GIVE BRAINLIEST
Points (-2, 4) and (-1,1) lie on the same line. Which of the following equations represents the line?
A. y - 1 = -}(x + 1)
B. y - 1 = -3(x + 1)
C. y - 1 = -}(x - 1)
D. y - 1 = -3(x - 1)

Sagot :

SmartKid1st

Answer:

A

Step-by-step explanation:

There are 2 ways you can do this. I'll show you one!

1. Find the Slope

      a. use the slope formla: (y1-y2)/(x1-x2)

               (4-1)/(-2-1)= 3/-3= -1

      This eliminates both B and D, as their slopes are -3

2. Now analyze the last 2 equations

        a. A goes through the ordered pair (-1, 1)

        b. C goes through the ordered pair (1, 1)

        The line we want goes through (-1, 1), so  A is the correct answer!

[tex]y-1=-3(x+1)[/tex] equation represents the line.

What is point slope form?

The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.

Given points

[tex](x_{1} ,y_{1} )[/tex] = (-1, 1)

[tex](x_{2} ,y_{2} )[/tex] = (-2, 4)

Using point slope form

We know that the equation of line passing through points [tex](x_{1} ,y_{1} )[/tex] and  [tex](x_{2} ,y_{2} )[/tex] is

[tex]y-y_{1} =\frac{y_{2}-y_{1} }{x_{2}-x_{1} }( x-x_{1})[/tex]

Therefore equation of line passing through points (-1, 1) and  (-2, 4) is

[tex]y-1=\frac{4-1}{-2+1}(x-(-1))[/tex]

[tex]y-1=\frac{3}{-1} (x+1)[/tex]

[tex]y-1=-3(x+1)[/tex]

Option B is correct.

Find out more information about point-slope form here

brainly.com/question/24436844

#SPJ2

We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.