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 (m1) of one line is opposite reciprocal of the second line slope (m2). 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)
(Additive indentity property:
)
(Additive inverse property:
)
(Additive indentity property:
)
(Divide each side by 6)
(Cancel common terms) \ \
The x-intercept is (1, 0).
\ \
Substitute =
and m =
in the point-slope form equation
(Substitute
)
(Additive indentity property:
) \ \
(Distributive property:
)
(Multiply:
)
The slope-intercept form line equation is .