What is the equation of the line through (4, 2) and perpendicular to the line y = - 2x - 4

Answer 1

y=x/2 or

x=2y

goes through the point (4,2) and is perpendicular to y=-2x-4

perpendicular lines have negative inverse slopes

y=-2x-4 has slope =-2. The slope is the coefficient of the x term when the equation is solved for y

negative inverse of -2 is +1/2. Just change the sign and flip the number upside down.

y=x/2 + b is perpendicular with b = any constant. To solve for b, plug in the point (4,2)

2=4/2 + b

b =2-2 = 0