Answer:
x+3y =4
Step-by-step explanation:
The standard form for a line is Ax +By =C
We have a point and a slope. Use point slope form to get the line and then transform it to standard form
Point slope form
y-y1 = m(x-x1) where (x1.y1) is the point and m is the slope
Substituting in the point and the slope
y-0 = -1/3(x-4)
y = -1/3 (x-4)
Multiply each side by 3 to get rid of the fraction
3y = 3*(-1/3 (x-4))
3y = -(x-4)
Distribute the minus sign
3y = -x +4
Add x to each side
x+3y = x-x+4
x+3y = 4
This is in standard form
