Question

write an equation of the line containing the given point and paralle to the given line. Express your answer in the form y=mx+b (8,9) x+4y=5

Answer 1

\[y=-\frac{1}{4}x+\frac{5}{4}\]\[y-9=-\frac{1}{4}(x-8)\]\[y=-\frac{1}{4}x+11\]

Answer 2

parallel have the same gradient
x+4y=5
4y=-x+5
y=-x/4+5/4
slope =-1/4
(8,9) (x,y)=-1/4
y-9 / x-8 =-1/4
4(y-9)=-1(x-8)
4y-36=-x+8
4y=-x+44
y=-x/4+11