Answer:
[tex]x + 3y -10 = 0[/tex]
Step-by-step explanation:
Begin by writing the equation of the line in slope intercept form, y=mx+b.
Substitute m= -1/3 and b = 10/3.
[tex]y = -\frac{1}{3}x + \frac{10}{3}[/tex]
Convert to general from by moving both -1/3x and 10/3 to the other side of the equal sign. Then multiply the entire equation by 3 to clear the fractions.
[tex]\frac{1}{3}x + y - \frac{10}{3} = 0\\\\3(\frac{1}{3}x + y - \frac{10}{3} = 0)\\\\x + 3y -10 = 0[/tex]