Write the equation of the line that goes through the point (-2,3) that is perpendicular to the line y=2x-4

Answer 1

y= -x/2 + b

3 =2/2 + b

b = 3-1 = 2

y=-x/2 + 2 is the perpendicular line through the given point

general equation is y=mx + b where m=slope and b = y intercept

perpendicular line's slope is the negative inverse. -1/2 is the negative inverse of 2

change the sign and flip it upside down 2/1 to 1/2 with a negative sign