goes through (-3,-2) and parallel to y=1/3x+5

Question

write the equation of the line intercept from given the following information

 

Answer 1

Since it is parallel, it must have the same slope as the given line, so

 

y = (1/3)x + b

 

Use the given point to find b.

 

-2 = (1/3)(-3) + b

 

b = -1

 

y = (1/3)x - 1