Answer: y=-3x+29
Step-by-step explanation:
First put in y-intercept form to find the slope
[tex]4x-12y=2\\-12y=-4x+2\\y=\frac{1}{3} x-\frac{1}{6}[/tex]
Slope of the 1st equation is 1/3- the slope of the line perpendicular is the opposite reciprocal, so in the case it is -3
Use the point and the new slope to write the new equation in point slope format
[tex]y-y_{1} =m(x-x_{1} )\\y-(-1)=-3(x-10)\\y+1=-3x+30\\y=-3x+29[/tex]
