Find the equation of the line that is perpendicular to y = -4x + 3
and contains the point (8, 1).

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