Final answer:
To find a point on the line y = x + 8 in the 2nd quadrant, select a negative x-value and solve for y. For example, if x = -1, then y = 7, so the point (-1, 7) is in the 2nd quadrant and on the line.
Step-by-step explanation:
To find a point in the 2nd quadrant that is on the line y = x + 8, we first need to remember that in the 2nd quadrant, the x-values are negative and the y-values are positive. Since the equation of the line is y = x + 8, we can choose any negative value for x, and solve for y to find the corresponding point.
For example, if we choose x = -1, then we substitute -1 for x in the equation:
y = (-1) + 8
y = 7
So, the point (-1, 7) lies on the line y = x + 8 and is in the 2nd quadrant.