How do you find the x and y intercepts of the equation y = x + 8?

To find the x and y intercepts of the equation y = x + 8, we follow these steps:

Finding the Y-Intercept:

The y-intercept occurs when x = 0. To find the y-intercept, substitute x = 0 into the equation:

y = 0 + 8
y = 8

Therefore, the y-intercept is (0, 8). This means that the graph crosses the y-axis at the point (0, 8).

Finding the X-Intercept:

The x-intercept happens when y = 0. To find the x-intercept, replace y = 0 in the equation:

0 = x + 8
x = -8

So, the x-intercept is (-8, 0). This indicates that the graph intersects the x-axis at the point (-8, 0).

Conclusion:

In summary, the x and y intercepts for the equation y = x + 8 are:

• Y-Intercept: (0, 8)
• X-Intercept: (-8, 0)

These intercepts are useful for graphing the linear equation and understanding how it behaves on the coordinate plane.