IsabellaFlores1208
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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)

Respuesta :

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

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