Write an equation for the line that passes through the point (1,5) and is perpendicular to the graph of x+2y=4

Answer 1

2y=4-x has slope -1/2, perpendicular line has slope = negative inverse of -1 /2 which is +2

y=2x +b where b = y intercept, calculated by plugging in the point (1,5)

5 =2(1) +b

b = 5-2 = 3

y=2x+3 is the perpendicular line through the given point (1,5)