Answer:
To determine if a point belongs on the line defined by the equation y=3x+8, you can substitute the x-coordinate of the point into the equation and check if it satisfies the equation by yielding the corresponding y-coordinate.
Let's test each point:
A (-10, 38):
y=3x+8
y=3(−10)+8
y=−30+8
y=−22
The calculated y-coordinate (-22) does not match the given y-coordinate (38). Therefore, point A does not belong to the line.
B (5, 7):
y=3x+8
y=3(5)+8
y=15+8
y=23
The calculated y-coordinate (23) does not match the given y-coordinate (7). Therefore, point B does not belong to the line.
C (-2.1, -14.3):
y=3x+8
y=3(−2.1)+8
y=−6.3+8
y=1.7
The calculated y-coordinate (1.7) does not match the given y-coordinate (-14.3). Therefore, point C does not belong to the line.
None of the points A, B, or C belong to the line represented by the equation y=3x+8.
Explanation: