The equation of a line is expressed as y = mx + b. m = slope of line, b = y-intercept. To give equation of the line being asked for you must determine m and b.
Given line is y = 12x + 1, so m here equals 12 and the slope of the line is 12.
The slope of the line perpendicular to this line will be the negative reciprocal or -1/12
so for that line we have y = -1/12 x + b. we need to determine b.
we are given the line passes through (-4,4), so we could just plug -4 for x and 4 for y into the above equation and solve for b:
4 = -1/12 (-4) + b
4 = 1/3 + b
12/3 = 1/3 + b
11/3 = b
so the final equation is y = -1/12 x + 11/3
