Answer
y=x+6
Work Step by Step
You are given y=-x-2 and you have to find the equation of a perpendicular line.The lines are perpendicular so the slope of the new line would be 1 which is the opposite reciprocal of the slope in the first equation.You are given the point (-2,4). Plug this value into the y=mx+b
y=mx+b
4=1(-2)+b
4=-2+b
6=b
The y-intercept is 6 and the slope is 1 so the new equation is y=x+6
