The question is the picture thanks for helping

The answer is option B

Equation of a line is y = mx + c

Where

m = slope

From the equation y = - 4x - 6

Slope = - 4

Since the lines are perpendicular to each other the slope of the other line will be the negative inverse of the original line

That is

m = 1/4

Equation of the line using point ( - 4 , 10) is

y - 10 = 1/4(x + 4)

y - 10 = 1/4x + 1

y = 1/4x +1 + 10

y = 1/4x + 11

That's option B

Hope this helps