The line passes through the points are and perpendicular to
.
Hence the slope of the line perpendicular to the line is
.
Point-slope form of the equation of a line is .
Find the point-slope line equation.
\ (Formula for Point-slope intercept)
(Substitute
and
)
(Distributive property:
)
(Add
to each side)
(Apply additive inverse property:
)
(Simplify)
Therefore, the slope-intercept form of the line equation is .
Check the solution by using graphing method.
\\
Graph of the equations are and
.
Observe the graph:
\The both equations are perpendicular lines.
\The point slope intercept form of the perpendicular line eqaution is .