y=1/4x-1
perpendicular means the y-intercept stays the same (so 3 stays), but the slope would be the opposite reciprocal of the original.
the opposite of -4 is 4. opposite of negative=positive.
the reciprocal of 4 is 1/4
so the new slope is 1/4
since we have a point, you plus everything on the point slope-form.
y-y1=m(x-x1)
(8,1)—> the 8 is x1 and the 1 is y1
the slope is m
so it’ll be
y-1=1/4(x-8)
solve. first distribute the 1/4
y -1=1/4x - 2
add 1 to both sides
y= 1/4x - 1