Algebra-1
Question
Is this function represented by the graph Linear ?

Options
Answer & Analysis
Answer
Analysis
To determine if the function is linear from its graph, we need to understand the characteristics of a linear function:
1. Straight Line: A linear function will always produce a straight line when graphed on a Cartesian plane.
2. Constant Rate of Change: A linear function has a constant rate of change (slope). This means that as x increases by a certain amount, y changes by a consistent amount determined by the slope m.
Let’s analyze this graph:
The graph is a straight line sloping upwards from left to right.
Slope:
Let's calculate the ratios of change in y to change in x for some data points on the graph:(-10, -3) (-4, 0) (0, 2) ( 10, 7).
Calculate the corresponding differences in y:
Calculate the corresponding differences in x:
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.
Practice Now - It's Free!