Respuesta :

nkirotedoreen46

Answer:

[tex]y = -\frac{1}{2}x -\frac{5}{2}[/tex]

Step-by-step explanation:

We are given;

  • A point where the line is passing through as (3, -4)
  • The slope of the line -1/2

We are required to determine the equation of the line;

  • Note that, one way we can get the equation of a straight line is when we are given a point where the line is passing through and its slope.
  • Thus, in this case, we can determine the equation;

Taking another point (x, y)

Then; (x, y) , ( 3, -4) and slope -1/2 can give us the equation;

That is;

[tex]\frac{y+4}{x-3}=-\frac{1}{2}[/tex]

Cross multiplication;

[tex]2(y+4) = -1 (x-3)[/tex]

[tex]2y + 8 = -x +3[/tex]

Combining the like terms;

[tex]2y=-x-5\\y = -\frac{1}{2}x-\frac{5}{2}[/tex]

Thus, the equation of the line is; [tex]y = -\frac{1}{2}x -\frac{5}{2}[/tex]

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