Answer:
y = 1/2x - 3/2
Step-by-step explanation:
y = 1/2x +1 has a slope of 1/2 (It is in the form y = mx+b where m is the slope)
We want a line that is parallel which means it has the same slope
m = 1/2
We have the slope and a point, we can use the point slope form of the equation
y-y1 = m(x-x1)
y--4 = 1/2(x--5)
y+4 = 1/2 (x+5)
Distribute
y+4 = 1/2 x +5/2
Subtract 4 from each side
y+4-4 = 1/2x +5/2 -4
Get a common denominator for the constants on the right
y = 1/2x +5/2 -8/2
y = 1/2x - 3/2
