y = x + 9
Explanation:Rewriting the equation:
4y = 4x + 4
making y the subject of formula:
4y/4 = 4x/4 + 4/4
y = x + 1
For a line to be parallel to another line, the slope of one line will be equal to the slope of the other one
Comparing the equation above to equation of line:
y = mx + b
y = y
x = mx
x/x = mx/x
m = 1
slope of 1st line = 1
b = y-intercept = 1
we would insert the slope and point given in the equation of lie to get the y-intercept of the second line:
Point (-4, 5) = (x, y)
y = mx + b
5 = 1(-4) + b
5 = -4 + b
5 + 4 = b
b = 9
The equation of the second line becomes:
y = mx + b (slope intercept form)
y = 1(x) + 9
y = x + 9
