Question

write an equality of the line containing the specified point and perpendicular to the indicated line
(0,7), 4x +3=y

Answer 1

perpendicular means that the slope should be -1/4 (in respect to original slope of 4)
so then u have the equation:
\[y = -\frac{ 1 }{ 4 }x + c\]
then you plug in y for 7 and x for 0 so you get
\[7 = -\frac{ 1 }{ 4 }0 + c\]
so then c = 7... which makes your function
\[y = -\frac{ 1 }{ 4 }x + 7\]