To find the x and y intercepts of the equation y = x + 8, we need to evaluate the equation under specific conditions.
Finding the Y-Intercept: The y-intercept is where the graph crosses the y-axis. This occurs when x = 0. We can substitute 0 for x in the equation:
y = 0 + 8 = 8
So, the y-intercept is (0, 8).
Finding the X-Intercept: The x-intercept is where the graph crosses the x-axis. This occurs when y = 0. We can set y to 0 and solve for x:
0 = x + 8
To isolate x, we subtract 8 from both sides:
x = -8
Therefore, the x-intercept is (-8, 0).
In conclusion, the intercepts for the equation y = x + 8 are:
- Y-Intercept: (0, 8)
- X-Intercept: (-8, 0)