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How does one find out if an equation's graph goes through the origin?

-- Take the equation -- Set either 'x' or 'y' equal to zero -- Solve the resulting equation for the remaining variable -- If the remaining variable is then also zero, then the origin is on the graph of the function If the graph is a straight line ('x' and 'y' appear in the equation only to the 1st power), then the equation has to be in the form of a simple ratio ... like (y = Kx) or (x = Ky) or (xy = K) or (x/y = K) ... in order to go through the origin.


What is the equation of the line whose graph passes through the origin and has a slope of -3?

y = - 3x


Why graph fails to pass through the origin?

A graph fails to pass through the origin when the relationship it represents does not have a value of zero when both variables are zero. This can occur in various contexts, such as when there is a constant term in an equation that shifts the graph away from the origin. For example, in a linear equation like ( y = mx + b ) where ( b ) is not zero, the graph will intercept the y-axis at ( b ) instead of the origin. Additionally, in real-world scenarios, certain phenomena may inherently have a baseline value greater than zero, preventing the graph from intersecting at the origin.


How do you find the equation of a graph?

You find the equation of a graph by finding an equation with a graph.


X2 plus y2 equals 4?

The graph of that equation is a circle, centered at the origin, with radius = 2 .


The graph of a quadratic equation is called a?

The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.


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)?


What is it called when a graph goes straight though the origin?

A root of the equation that defines the line graphed exists at 0.


How do you determine if a graph is symmetric with respect to the x axis y axis or origin?

To determine if a graph is symmetric with respect to the x-axis, check if replacing (y) with (-y) in the equation yields an equivalent equation. For y-axis symmetry, replace (x) with (-x) and see if the equation remains unchanged. For origin symmetry, replace both (x) with (-x) and (y) with (-y) and verify if the equation is still the same. If the equation holds true for any of these conditions, the graph exhibits the corresponding symmetry.


What is the graph of an equation?

The graph of an equation is a visual representation of the values that satisfy the equation.


What is the graph for quadratic equation?

the graph for a quadratic equation ct5r


What is the equation of the line whose graph passes through the origin and has a slope of 1?

Slope = 1Y-intercept = 0Y = X