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Sagot :
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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