Find an equation of a line through (2, 1) and perpendicular to - 2x + 4y = 8

a. y = - 2x - 3

b. y = - 2x + 3

c. y = - 2x + 5

d. y = - 2x - 1

Hello:

the equation is : y = ax+b

the slope is a : a * (1/2) = - 1 ... (perpendicular to a line with a slope of 1/2) because : - 2x+4y = 8 ... y = (1/2) x+2)

a = - 2 y = (-2x+b

the line that passes through (2,1) : 1 = - 2 (2) + b

b = 5

the equation is : y = - 2x+5