Question

What is the equation of a line that is parallel to −x+3y=6 and passes through the point (3, 5) ? Enter your answer in the box.

Answer 1

Find slope: parallel lines have same slope

−x+3y=6
+x +x
----------------
3y=x+6
3/3y=x/3+6/3
y=1/3x+2

Slope=1/3

Use slope and point (3, 5) to find b, y- intercept
y=mx+b
(5)=(1/3)(3)+b
5=1+b
5-1=1-1+b
4=b

Now we put it all together using m=1/3 and b=4
y=1/3x+4