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 - y1 = m( X - x1)
where m is the slope of the line though the point (x1,y1):
Y - 5 = 1( X - 2)
y = x + 3