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How does a directly proportional graph look like?
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.
Does the force vs acceleration graph goes through origin?
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.
What does the Hooke's Law graph illustrate about the relationship between force and extension in a spring?
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.
How an object might move to create a graph if it is moving away from the origin?
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.
According to Hooke's law describe a graph of force versus displacement for an elastic spring?
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.
A line passes through the origin and has a slope of?
which equation has a slope of -1/2 and a graph that passes through (-3,4)?
Does the graph of an inverse variation pass through the origin?
Inverse variation does not pass through the origin, however direct variation always passes through the origin.
What is the equation of the line whose graph passes through the origin and has a slope of -3?
y = - 3x
State the y-intercept for the graph y equals -4x?
y = -4x The y-intercept is zero. That is, the graph passes through the origin.
What is the equation of the line whose graph passes through the origin and has a slope of 1?
Slope = 1Y-intercept = 0Y = X
When Ax plus By equals C passes through the origin will C equal 0 on the graph?
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.
What is the linear parent function?
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 /.
If the graph of a linear equation Ax plus By equals C passes through the origin then will C equal 0?
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.
Why does the graph of an equation expressing direct variation always pass through the origin?
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.
Is every relationship whose graph passes through the origin direct variation?
No, not every relationship whose graph passes through the origin represents direct variation. Direct variation specifically means that the relationship can be expressed in the form ( y = kx ), where ( k ) is a non-zero constant. While a graph passing through the origin indicates a proportional relationship, it can also represent other types of relationships, such as quadratic or polynomial functions, if they contain additional terms. Therefore, the key characteristic of direct variation is the constant ratio between ( y ) and ( x ), not just the point of intersection at the origin.
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.
How do you know the relationship between x and y is 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.
