Question

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

Answer 1

The equation of the line is;

`y=-x+3`

Step-by-step 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;

`y-y_1=m(x-x_1)`

substituting the slope and the point;

`\begin{gathered} y-1=-1(x-2) \\ y-1=-x+2 \\ y=-x+2+1 \\ y=-x+3 \end{gathered}`

Therefore, the equation of the line is;

`y=-x+3`