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What is the equation of the line that has a slope of -1 and passes through the point (2, 1)? Select one: A. y = x + 3 B. y = -x C. y = -x +3 D. y = -x-3

Respuesta :

Answer:

The equation of the line is;

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

Explanation:

We want to find the equation of the line with slope -1 and passes through the point (2,1).

Applying the point slope equation of line;

[tex]y-y_1=m(x-x_1)[/tex]

substituting the slope and the point;

[tex]\begin{gathered} y-1=-1(x-2) \\ y-1=-x+2 \\ y=-x+2+1 \\ y=-x+3 \end{gathered}[/tex]

Therefore, the equation of the line is;

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