Question

How do you graph `y=1/3x+5`?

Answer 1

graph{1/3x+5 [-9.91, 10.09, -1.32, 8.68]}

Explanation:

The slope of the line is equal to the coefficient of x, which is 1/3. The best way to remember how to do slope is to memorize "rise over run". In this case, the "rise" of the slope is 1 and the "run" is 3. This means that for every 3 steps in the x-direction, there is one step up in the y-direction.
Now, we look at the shift. Since the shift is +5, we move the line up 5 in the positive y-direction so that the y-intercept becomes (0,5). You can check this mathematically by plugging in 0 for x: `y=1/3(0)+5=5`, so when x=0, y=5.