The line equation in slope-intercept form is , where m is the slope
and b is the y-intercept.
\ \ \If two lines are perpendicular, the slope () of one line is opposite reciprocal
of the second line slope (). It can be represented as,
.
The slope of the line is 6.
\So the line perpendicular to above equation has the slope
Find the x – intercept
\ (Substitute y = 0)
(Add 6 to each side)
(Apply additive indentity property:
)
(Apply additive inverse property:
)
(Apply additive indentity property:
)
(Divide each side by 6)
(Cancel common terms)
The x-intercept is .
Substitute =
and
in the point-slope form equation.
(Substitute
)
(Apply additive indentity property:
)
(Apply distributive property:
)
(Multiply:
)
The slope-intercept form line equation is .