0
What else can I help you with?
How do you find the y-intercept of the graph of the equation?
Set 'x' equal to zero, and solve the remaining equation for 'y'.
What kind of lines have a slope of zero?
On the standard Cartesian graph, horizontal lines have zero slope. They all have the equation Y = a number
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.
Why do you equate the equation to zero?
Not all equations are equated to zero, but usually we set a function equal to zero if we want to find its x intercepts, or where the graph of the function crosses the x axis.
Does a graph of a linear equation always have an x intercept?
No; if the slope is zero and it is above or below y=0 it will not have an x intercept.
How do you find the y-intercept of the graph of the equation?
Set 'x' equal to zero, and solve the remaining equation for 'y'.
What kind of lines have a slope of zero?
On the standard Cartesian graph, horizontal lines have zero slope. They all have the equation Y = a number
How would you graph -3 on the numberline?
To graph a negitive . You would go three spaces back from zero.
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 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 corner point of a graph of an absolute value equation?
It is sometimes the point where the value inside the absolute function is zero.
How do you find the x intercept on a linear equation?
At the x-intercept on the graph of the equation, y=0. Take the equation, set 'y' equal to zero, and solve the equation for 'x'. The number you get is the x-intercept.
Why do you equate the equation to zero?
Not all equations are equated to zero, but usually we set a function equal to zero if we want to find its x intercepts, or where the graph of the function crosses the x axis.
How speed of zero would appear on a graph?
-- If the graph displays speed against time, then speed of zero is indicated wherever the graph-line touches the x-axis. -- If the graph displays distance against time, then speed of zero is indicated wherever the graph-line is horizontal. -- If the graph displays acceleration (magnitude) against time, then the graph can tell you when speed is increasing or decreasing, but it doesn't show what the actual speed is.
What does an undefined graph look like?
An undefined graph typically occurs when there is a division by zero in a mathematical equation, resulting in an infinite or undefined value. In a graph, this would manifest as a vertical line or asymptote where the function approaches infinity or negative infinity. This can happen, for example, when plotting the graph of a rational function where the denominator equals zero at a certain point.
Is f(x) a function?
The zero of a f (function) is an x-value that corresponds to where the y-value is zero on the functions graph or the x-intercepts. Functions can have multiple zeroes or no real zeroes at all, depending on the equation.
Does a graph of a linear equation always have an x intercept?
No; if the slope is zero and it is above or below y=0 it will not have an x intercept.
