
Compare the equation
with Slope-intercept form line equation
.
Slope of the given line is
.
Since the slopes of perpendicular lines are opposite reciprocals.
\The slope of the perpendicular line is
.
Find the y-intercept value by replacing the slope with
and (x, y) with ordered pair (2,
5).
(Substitute
for m)
(Substitute 2,
5 for x, y)
(Multiply:
)
Apply addition property of equality: If a = b than a + c = b + c.
\
(Add 8 to each side)
Apply commutative property of addition:
.

(Additive inverse property:
)
(Additive identity property:
)
(Add:
)
Substitute
for m and 3 for b in the Slope-intercept form equation.

The perpendicular line is
.