Answer:
4y + x = 4c
Step-by-step explanation:
given equation of line
y = 4 x + 2
comparing with equation
y = m₁ x + c
m₁ = 4 c = 2
we know,
condition for perpendicular lines is
m₁ × m₂ = -1
now, 4 × m₂ = -1
m₂ = -1/4.................(1)
now, we know
y = m₂ x + c
putting value of equation (1)
[tex]y = \frac{-1}{4}\times x +c[/tex]
4y + x = 4c
to get the value of c we need a point
hence, the answer comes out to be 4y + x = 4c
