In a directly proportional graph, the relationship between two variables is such that when one variable increases, the other variable also increases at a constant rate. This relationship is typically represented by a straight line that passes through the origin (0,0). The slope of this line is positive.
No, in general, the force vs acceleration graph does not always pass through the origin. This is because there may be a non-zero force acting on an object even when it is at rest. The presence of a non-zero force at rest would lead to a non-zero intercept on the force vs acceleration graph.
The Hooke's Law graph shows that the relationship between force and extension in a spring is linear. This means that as the force applied to the spring increases, the extension of the spring also increases proportionally.
If an object is moving away from the origin, its position values will increase over time in one or more directions. This movement would result in a graph with lines or curves that have positive slopes or increasing values, indicating the object's increasing distance from the origin.
The spring obeys Hooke's law for all displacements. Hooke recognized this, and his law applies only while the displacement stays within the "elastic limit" for the spring. Within that range the graph is a straight line through the origin.
which equation has a slope of -1/2 and a graph that passes through (-3,4)?
Inverse variation does not pass through the origin, however direct variation always passes through the origin.
y = - 3x
y = -4x The y-intercept is zero. That is, the graph passes through the origin.
Slope = 1Y-intercept = 0Y = X
Yes Ax + By = C As the line passes through the origin then x = 0 when y = 0. Substituting gives, 0 + 0 = C therefore C = 0.
The linear parent function is y=x. The line on a graph passes through the origin(0,0) with a slope of 1. The line will face left to right on the graph like this /.
Yes Ax + By = C As the line passes through the origin then x = 0 when y = 0. Substituting gives, 0 + 0 = C therefore C = 0.
For a direct variation, y=kx where k is the constant of variation if x =0 then y=0 and the graph of y=kx passes through the origin. -Indiana Prentice Hall Algebra 2 Text Book.
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.
The answer depends on how the information is presented. If in the form of a graph, it must be a straight line through the origin. If in the form of an equation, it must be of the form y = cx.
By doing a vertical line test. If you can draw a vertical line and it only passes through the graph once, its a function. If it passes through twice, it is NOT a function.