Answer:
[tex]y = \frac{1}{3} x - 10[/tex]
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
Parallel lines have the same gradient. Hence the gradient of line r is [tex] \frac{1}{3} [/tex].
Susbt. m=[tex] \frac{1}{3} [/tex],
[tex]y = \frac{1}{3} x + c[/tex]
To find c, substitute a coordinate.
When x=3, y= -9,
[tex] - 9 = \frac{1}{3} (3) + c[/tex]
-9= 1 +c
c= -9-1
c= -10
Thus the equation of line r is [tex]y = \frac{1}{3} x - 10[/tex].
