Y=x+12
4x+2y=27
solve each system of equation algebraically

// Solve equation [1] for the variable  y  
 

// Plug this in for variable  y  in equation [2]

// Solve equation [2] for the variable  x  

// By now we know this much :

// Use the  x  value to solve for  y  

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

but which class are u may know that first