1) y=−1/3x−10 but I think you means y=−1/3x−10
2) y=1/3x+1
3) y=3x−2
Parallel slopes are the same an the number beside the x (Coefficient) is the slope
so y=3x−4 has slope of 3 (the coefficient of x) and 3) y=3x−2 also has the slope of 3 so they are Parallel
Perpendicular has negative Reciprocal slopes (which means turn the slope upside down and change the singe from positive to negative of the other way)
so y=3x−4 has slope of 3 (the coefficient of x) to take teh 3 and turn it upside down 3/1 becomes 1/3 (reciprocal) and negate it (Positive becomes negative) -1/3 and 1) y=−1/3x−10 has the slope of -1/3 so its perpendicular to y=3x−4