What is the equation of the line that passes through (-1,7) and is perpendicular to the line that passes through the following points: (1,3),(-2,6) ?

$y = x + 8$
The equation of line passing through (-1,7) is $y - 7 = m \cdot \left(x + 1\right)$ where m is the slope of the line.
The slope of the other perpendicular line, $m 1 = \frac{6 - 3}{- 2 - 1} = - 1$
Condition of perpendicularity is $m \cdot m 1 = - 1$ so the slope $m = 1$
Thus the equation of the line is y-7 = 1 * (x+1) or $y = x + 8$ (Answer)