Question 1049906
y = 2x - 7 Green Line
m = 2
New Line perpendicular to it m = -1/2 (negative reciprocal of m = 2)
New Line passes through (2,5)
y - 5 = (-1/2)(x-2)
y = (-1/2)x + 6 Blue Line

{{{drawing(300,300,    -10,10,-10,10,  
 grid(1),
circle(0, -7,0.4),
circle(2, 5,0.4),
graph( 300, 300, -10,10,-10,10,0, 2x - 7, -.5x + 6))}}}