Question12) through: $(1,3)$, perp. to $y=x+5$

Studdy Solution
Use the point-slope form to find the equation of the line:
The point-slope form of a line is given by:
$$y - y_1 = m(x - x_1)$$
Substitute the point $(1, 3)$ and the slope $-1$ into the equation:
$$y - 3 = -1(x - 1)$$
Simplify the equation:
$$y - 3 = -x + 1$$
$$y = -x + 4$$
The equation of the line is:
$$\boxed{y = -x + 4}$$