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Identify the slope and y intercept. Then, graph the linear equation.

`y=-\frac{5}{3}x+4`

Begin with `b`. `b=`

Move with `m`.`m=`

The equation is in slope-intercept form `y=mx+b`, where `m` represents the slope and `b` represents the y-intercept.

Comparing the given equation `y=-\frac{5}{3}x+4` with the slope-intercept form, we can determine that:

`m = -5/3` and `b = 4`.

To graph the equation, we can start by plotting the y-intercept, which is (0, 4). From there, we can use the slope to find another point on the line.

The slope `m = -5/3` means that for every unit increase in x, y will decrease by 5/3 units. So we can find another point by moving 3 units to the right and 5 units down from the y-intercept.

Starting from (0, 4), we can move to the point (3, -1).

Plotting these two points and drawing a line through them, we get:

The table shows the linear relationship between the balance saved each week. What is the rate of change in terms of balance (in dollars) with respect to the number of weeks?

To determine the rate of change in terms of balance (in dollars) with respect to the number of weeks, we can examine the table provided. However, since the table is not given, I am unable to calculate the specific rate of change. If you provide the table or specific data points, I can assist you further in determining the rate of change.