Answer:
[tex]\large \boxed{y= \frac{1}{3}x - \frac{5}{3}}[/tex]
Step-by-step explanation:
(a) Slope of parallel line
y = ⅓x -2
slope = ⅓
The parallel line has slope = ⅓.
(b) Equation for parallel line
The slope-intercept formula for a straight line is
y = mx + b
Insert the value of m and the coordinates of the point,
0 = ⅓(5) + b
b = -⁵/₃
[tex]\text{The equation for the parallel line is $\large \boxed{\mathbf{y= \frac{1}{3}x - \frac{5}{3}}}$}[/tex]
The graph is a straight line that passes through (5, 0) and has a slope of ⅓.
