Math
posted by Natalie .
Write the equation of a line in slope intercept form that is parallel to the line y= 1/3x+ 5 and passes through (9, 5). Do not use any spaces. Slope should be a reduced improper fraction.

slope is 1/3
use the point given in y=1/3 x +b to solve for b.
Now you have the equation 
Equations of a straight line :
y = m x + b
Where :
m = slope
b = the y intercept ( where the line crosses the y axis )
Parallel lines have the same slope.
In this case m = 1 / 3
y = ( 1 / 3 ) x + b
x =  9
y = 5
5 = ( 1 / 3 ) (  9 ) + b
5 =  3 + b Add 3 to both sides
5 + 3 =  3 + b + 3
8 = b
b = 8
y = m x + b
y = ( 1 / 3 ) x + 8