The equation of a line that passes through (0, 0) is y = x, where the two variables x and y have always the same values.
When a graph of two variables is a straight line passing through the origin, it indicates a direct proportional relationship between the two variables. This means that as one variable increases or decreases, the other variable changes in a consistent and predictable manner, maintaining the same ratio. The equation of such a line can be expressed in the form ( y = kx ), where ( k ) is a constant representing the slope of the line. This characteristic is commonly seen in linear relationships in physics, economics, and other fields.
The term used to describe the relationship between two variables whose graph is a straight line passing through the point (0, 0) is "directly proportional." In this relationship, as one variable increases, the other variable increases at a constant rate, resulting in a linear equation of the form (y = kx), where (k) is a positive constant.
Any variables can be shown on a graph.
The vertical line passing through the origin
-2.25
0,0
When a graph of two variables is a straight line passing through the origin, it indicates a direct proportional relationship between the two variables. This means that as one variable increases or decreases, the other variable changes in a consistent and predictable manner, maintaining the same ratio. The equation of such a line can be expressed in the form ( y = kx ), where ( k ) is a constant representing the slope of the line. This characteristic is commonly seen in linear relationships in physics, economics, and other fields.
The term used to describe the relationship between two variables whose graph is a straight line passing through the point (0, 0) is "directly proportional." In this relationship, as one variable increases, the other variable increases at a constant rate, resulting in a linear equation of the form (y = kx), where (k) is a positive constant.
Any variables can be shown on a graph.
It is a straight line equation with no x or y intercepts on the Cartesian plane
The vertical line passing through the origin
The horizontal line passing through the origin.
A straight horizontal line passing through y=-2
-2.25
It is a straight line passing through the origin.
It is a straight line passing through the origin.
To identify the constant of proportionality in a graph, look for a linear relationship between the two variables, typically represented as a straight line passing through the origin (0,0). The constant of proportionality is the slope of this line, calculated by choosing two points on the line, finding the difference in their y-values, and dividing it by the difference in their x-values (rise over run). This value represents the ratio of the two variables and remains constant throughout the graph.