Answer:
x -intercepts is (1,0) and y -intercepts is (0,3)
Answer and explanation:
To find the x and y intercepts of the equation 3x + y - 3 = 0, we can use the intercept method.
The x-intercept is the point where the graph of the equation crosses the x-axis. To find it, we set y = 0 and solve for x.
When y = 0, the equation becomes 3x + 0-3 = 0, which simplifies to 3x - 3 = 0. Adding 3 to both sides gives us 3x = 3. Dividing both sides by 3, we get x = 1.
Therefore, the x-intercept is (1, 0).
The y-intercept is the point where the graph of the equation crosses the y-axis. To find it, we set x = 0 and solve for y.
When x = 0, the equation becomes 3(0) + y-3=0, which simplifies to y- 3 = 0. Adding 3 to both sides gives us y = 3.
Therefore, the y-intercept is (0, 3).
In summary:
- The x-intercept is (1, 0).
- The y-intercept is (0, 3).
These intercepts represent points on the graph where the equation crosses the x-axis and y-axis, respectively.