Answer:
[tex]y = \frac{1}{3} x - \frac{16}{3} [/tex]
Step-by-step explanation:
Write 3x + y - 4 = 0 in the form of y = mx + c ,
where m is is the gradient .
Thus, y = -3x + 4
Next use the formula,
m1 × m2 = -1
to find the gradient for the new equation.
-3 × m2 = -1
m2 = 1/3
Given the contacting point (1, -5), therefore
y-(-5) =1/3(x-1)
y+5=1/3(x) - 1/3
y = 1/3(x) -1/3 -5
y = 1/3 (x) -16/3
