Which statement best explains whether Y equals 4 x+ 8 is a linear function or nonlinear function?
1 answer:
Answer:
C) It is a linear function because the graph contains the points (0, 8), (1, 12), (2, 16), which are on a straight line.
Explanation:
The missing options for this question are:
A) It is a linear function because the graph contains the points (8, 0), (12, 1), (16, 2), which are on a straight line.
B) It is a nonlinear function because the graph contains the points (8, 0), (12, 1), (16, 2), which are not on a straight line.
C) It is a linear function because the graph contains the points (0, 8), (1, 12), (2, 16), which are on a straight line.
D) It is a nonlinear function because the graph contains the points (0, 8), (1, 12), (2, 16), which are not on a straight line.
The given equation is:
y = 4x + 8
Replacing x by 0, we get y = 8. This means point (0, 8) lies on the graph of the function.
Replacing x by 1, we get y = 12. This means point (1, 12) lies on the graph of the function.
Replacing x by 2, we get y = 16. This means point (2, 16) lies on the graph of the function.
If we plot these three points on a graph we can draw a straight line through these. Hence, based on this we can conclude that:
C) It is a linear function because the graph contains the points (0, 8), (1, 12), (2, 16), which are on a straight line.
The line passing through these 3 points would actually be the given equation y = 4x + 8 as one and only one line can pass through 3 distinct points.
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