Graph this function. on the graph, make sure to label the intercepts. function: y = -2/3x + 490

It is a linear function. The graph is a straight line.

We need only two points to plot the graph.

Select any value of x and calculate the value of y.

for x = 0

for x = 600

We need calculate the value of x-intercept.

for y = 0

          subtract 490 from both sides

          multiply both sides by (-3)

           divide both sides by 2

See below and see the graph

Step-by-step explanation:

Remark

The trick here is to get a clear picture of what the intercepts look like. Also if you are using Desmos, make sure and add a table to show what the intercepts are.

Intercepts

x_intercept [y = 0]

0 = (-2/3)x + 490         Subtract 490 from both sides-490 = (-2/3)x              Divide by -0.666666667 (which is -2/3) on both sides-490/-0.666666667 = (-2/3)x / -0.666666667735 = x

So the x intercept is (735,0)

y_intercept (x = 0)

y = (-2/3)x + 490y = (-2/3)0 + 490y = 490

y_intercept = (0,490)

Graph

The graph is attached below. Notice two things.

The axis have been readjusted to accommodate the x and y intercepts. You do that with the wrench on the right.The table has been included for the x and y intercepts. There is no other way to record values.

The annual rate of depriciation would be approximately $1,166.60 per year.