Final answer:
The slope of the line y+5=-(1/3)(x-4) is -1/3, and a point on the line is (0, -13/3).
Step-by-step explanation:
To find the slope and a point on the line y+5=-(1/3)(x-4), we can rewrite the equation in slope-intercept form, which is y = mx + b. In this case, m represents the slope and b represents the y-intercept.
Starting with the given equation, y + 5 = -(1/3)(x - 4), we subtract 5 from both sides to isolate y: y = -(1/3)(x - 4) - 5.
Now, we can see that the slope of the line is -1/3. A point on the line can be found by substituting any x value into the equation and solving for y. For example, if we let x = 0, y = -(1/3)(0 - 4) - 5 = -13/3.