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A relationship that produces a graph with a straight line is a linear relationship, typically described by the equation (y = mx + b), where (m) represents the slope and (b) the y-intercept. In this type of relationship, changes in the independent variable result in proportional changes in the dependent variable, maintaining a constant rate of change. Examples include relationships like distance vs. time at constant speed or cost vs. quantity with a fixed price per unit.
What else can I help you with?
IWhat shape does the graph of a linear relationship take?
Linear = Straight line! So, a graph of a linear relationship is a straight line.
How does a linear relationship show up in a graph?
A linear relationship will show up on a graph as a straight line.
How can you decide whether a relationship is linear by studying the pattern in a graph?
The graph must be a straight line, and it must pass through the origin.
A straight line on a graph means there is a relationship between the dependent variable and the independent variable?
_linear_
How do you know a graph shows a proportional relationship?
A graph shows a proportional relationship if it is a straight line that passes through the origin (0,0). This indicates that as one variable increases, the other variable increases at a constant rate. Additionally, the ratio of the two variables remains constant throughout the graph. If the line is not straight or does not pass through the origin, the relationship is not proportional.
IWhat shape does the graph of a linear relationship take?
Linear = Straight line! So, a graph of a linear relationship is a straight line.
How can you draw a graph that represents a linear relationship?
The graph is a straight line.
If a graph of distance versus time is a straight line the graph shows what relationship?
it is a positive relationship
What a nonlinear relationship?
That means that if you draw a graph of the relationship, you will not get a straight line.
How does a linear relationship show up in a graph?
A linear relationship will show up on a graph as a straight line.
What graph indicates that there is a linear relationship?
A straight line graph plotted on the Cartesian plane
A straight line on a graph means there is a what relationship?
A direct relationship if the slope of the line is positive. An inverse relationship if the slope of the line is negative.
How do you graph a proportional relationship?
It can be either a straight line through the origin or a hyperbola.
If the relationship between the manipulated variable and the responding variable is a direct proportion what will a line graph of this relationship look like?
Straight line.
How can you decide from a graph whether a relationship is linear?
You can decide from a graph wheter a ralationship is linear or non linear if the line is staight is linear but if the line is not straight is not linear.
How can you decide whether a relationship is linear by studying the pattern in a graph?
The graph must be a straight line, and it must pass through the origin.
A straight line on a graph means there is a relationship between the dependent variable and the independent variable?
_linear_
