Question

Determine the x- and y-intercepts of the graph of y=−1/3x+3.

Then plot the intercepts to graph the equation.

Tell me the exact points.

Answer 1

graph (3,0) and (9,0)

Explanation:

Consider the provided equation.

The x intercepts are the points where y value is zero. Similarly the y intercepts are the points where x values is zero.

In order to find the x intercept substitute y = 0 in the provided equation.

0=-1/3x + 3

-3=-1/3(x)

-9=-x

9=x

Thus, the x intercept is (9,0)

In order to find the y intercept substitute x = 0 in the provided equation.

y=-1/3(0) + 3

y=3

Thus, the y intercept is (0,3)

Now use the x and y intercepts to draw the graph of the equation.

The required graph is shown in figure 1.

Therefore, the x- and y- intercepts is (9,0) and (0,3)

Answer 2

(0,3) and (9,0)
x y x y

hope this helps