*Determine the equation for the line containing the point (2, 5) that is perpendicular to y = -1x + 2*

Hello Sophia B...,

Perpendicular line have slopes that are negative reciprocals.

Since the slope of* *y = -1x + 2 is m = -1 in the y = mx + b format.

The perpendicular the negative inverse of that slope which is +1.

Anytime you are required to find the 'equation of the line,' use **Y - y**_{1}** = m( X - x**_{1}**)**

where m is the slope of the line though the point (x_{1},y_{1}):

Y - 5 = 1( X - 2)

**Answer:**

**y = x + 3 **