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

Hello there!
To find the x and y intercept points of the equation, plug in zero for the x and solve for y to find the y intercept, and vice versa.

To start, let's first start out by plugging in 0 for the x value and solve for y:
y=-1/3(0)+3
When you simplify this expression, you should get a result of y= 3.
This would mean that the point where your y intercept is at is at (0,3)

Now, let's solve for the x intercept by plugging 0 in for y and solving for x:
0=-1/3x+3
-3=-1/3x
-9=-x
x=9
Now that you have gotten x=3, you can conclude that the point of the x intercept is (9,0)

Hope this helps!

Answer 2

The x- and y- intercepts is (9,0) and (0,3) respectively.

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)/(3)x+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) respectively.