straight line
If it is a straight line through the origin then it represents a direct proportion.
A kind of weird line that is straight.
A direct proportion on a graph is represented by a straight line that passes through the origin (0,0). This line has a constant slope, indicating that as one variable increases, the other variable increases at a consistent rate. The formula for a direct proportion can be expressed as ( y = kx ), where ( k ) is the constant of proportionality.
A proportional graph visually represents the relationship between two variables that have a constant ratio. In such a graph, as one variable increases or decreases, the other variable changes in direct proportion, resulting in a straight line that passes through the origin (0,0). This type of graph is useful for illustrating direct relationships, such as speed and distance or cost and quantity. The slope of the line indicates the rate of change between the variables.
straight line
If it is a straight line through the origin then it represents a direct proportion.
A kind of weird line that is straight.
Assuming both the scales on the graph are linear (that is to say that the numbers go up evenly) then YES, a graph which shows direct proportion must be a straight line. It must also pass through the origin (0,0). A straight line which does not pass through the origin is NOT showing direct proportion. Duncan
A direct proportion on a graph is represented by a straight line that passes through the origin (0,0). This line has a constant slope, indicating that as one variable increases, the other variable increases at a consistent rate. The formula for a direct proportion can be expressed as ( y = kx ), where ( k ) is the constant of proportionality.
A proportional graph visually represents the relationship between two variables that have a constant ratio. In such a graph, as one variable increases or decreases, the other variable changes in direct proportion, resulting in a straight line that passes through the origin (0,0). This type of graph is useful for illustrating direct relationships, such as speed and distance or cost and quantity. The slope of the line indicates the rate of change between the variables.
This graph states, therefore, that A is directly proportional to B. It also states that ... thus showing that this straight line through the origin represents a direct proportion. ... what you are talking about, because there are other types of proportions.
Unless it is a direct proportion, the straight line does not have to start from zero.
It represents a direct proportion and whose graph is a straight line through the origin.
straight line
Straight line.
If the variables x and y are in direct proportion then the graph of y against x is a straight line through the origin. If the variables x and y are in inverse proportion then the graph of y against x is a rectangular hyperbola. Alternatively, the graph of y against 1/x (or 1/y against x) is a straight line through the origin.