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 .