The equation of a line has the next form:
y =mx+b
Where m is the slope and b is the y-intercept.
First, we place the slope:
y= -3x+b
to find b, we know that when x = 2/3 the value of y is 1.
So:
1= -3(2/3)+b
Solving for b:
1= -2+b
1+2=b
3=b
So the values are:
m=-3
b=3
The equation of the line is:
y=-3x+3