Answer:
[tex]y=\frac{1}{4} x-1.[/tex]
Step-by-step explanation:
1) if the lines are perpendicular, then the second slop is 0.25;
2) the equation of the 2d line is y=0.25x+i, where i - unknown intercept;
3) it is possible to calculate the unknown intercept, if to substitute the given coordinates into the equation y=0.25x+i:
-4=-12*0.25+i; ⇔ i=-1.
4) finally, the required equation is:
[tex]y=\frac{1}{4} x-1.[/tex]
