Answer:
[tex]y=-3x+5[/tex]
Step-by-step explanation:
As the new line is perpendicular to the original line, the gradient of the new line (m) will be -1 ÷ gradient of original line = -1 ÷ 1/3 = -3
So using: [tex]y-y_1=m(x-x_1)[/tex] where m is the gradient and [tex](x_1, x_2)[/tex] is the point it passes through:
⇒ [tex]y-2=-3(x-1)[/tex]
⇒ [tex]y=-3x+5[/tex]
