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 .