Find the equation for the line parallel to the line with the equation y-5=1/2(x+1) passing through the the point (-4,-5)

Answer 1

y-5 = (1/2)(x+1)

y= x/2 + 11/2

any parallel line has the same slope = 1/2, the coefficient of the x term when the equation is solved for y

y=x/2 + b, solve for b by plugging in the point (-4,-5)

-5 = -4/2 + b

b = -5 + 2 = -3

y=x/2 -3 is the line parallel to the given equation through the the given point