C
range means all possible y values
perp to x-3y=2 thru (2,4)
For perpendicular we swap the coefficients on x and y, negating one
3x + y = some constant
We get the constant in the obvious way from the point
3x + y = 3(2) + 4 = 6 + 4 = 10
Answer: 3x + y = 10
The rule for the translation is like a function. If X=2 and Y=-1, we just substitute those values in the rule of (x,y) => (x-1, y+3)
(2,-1)=>(1, 2) are the new coordinates. You went 1 to the left on the X axis and 3 up on the Y axis.