Answer:
1/3
Explanation:
we are given the equation
3x - 9y = -1.
we can find the slope by rearranging to find y in terms of x. add 9y to both sides.
3x = 9y - 1
next, add 1 to both sides
9y = 3x + 1
finally, divide by 9.
y = 1/3 x + 1/9. compare to the standard form of a line y = mx + c where m is the slope and c is the y-intercept.
so, 1/3 is the slope of the line. two lines are parallel if they have the same slope, so the slope of a line parallel would have the same slope: 1/3