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 4.
So the line perpendicular to above equation has the slope
.
Substitute (x1, y1) = (1, 1) and
in the point-slope form equation.

(Substitute (x1, y1) and m values)
(Apply distributive property:
)
(Simplify)
(Add 1 to each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
The required slope-intercept form of the line equation is
.