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What is initial value for the linear function?

The initial value of a linear function refers to the y-intercept, which is the point where the graph of the function crosses the y-axis. It represents the value of the function when the independent variable (usually x) is zero. In the equation of a linear function in slope-intercept form, (y = mx + b), the initial value is the constant (b). This value provides a starting point for the function's graph.


How do you graph a linear equation slope intercept?

You can graph a linear equation slope intercept by solving the equation and plugging in the numbers : y=mx+b


What statement correctly compares the function shown on this graph with the function y5x plus 5?

To accurately compare the function shown on the graph with the function ( y = 5x + 5 ), one would need to analyze the graph's slope and y-intercept. If the graph has a slope of 5 and a y-intercept of 5, then it is identical to the function ( y = 5x + 5 ). If either the slope or the y-intercept differs, then the graph represents a different linear function. Without seeing the specific graph, it's impossible to make a definitive comparison.


What is the smallest number of intercepts possible for a graph of a linear equation in 2 variables?

The graph must have at least one intercept.


What are 3 different methods that can graph a linear equation?

You could put the equation in slope-intercept form or in parent linear function or even make a table of values.


Please help -- How does the slope and y-intercept change if you reverse the x and y axis of a linear graph. Will the graph still be linear?

If it was linear to start with it will still be linear. The slope will change to its reciprocal. The y-intercept will be unchanged (but it will look different)


What is the shape of a graph of a linear function?

The graph of a linear function is a straight line. It can have a positive slope, indicating an upward trend, or a negative slope, indicating a downward trend. The line can also be horizontal if the function has a slope of zero, representing a constant value. The overall shape is determined by the function's slope and y-intercept.


What is the y-intercept of a linear equation?

The y-intercept of a linear equation is the point where the graph of the line represented by that equation crosses the y-axis.


What does a linear equation graph look like?

A linear function is a function whose graph is a straight line.


How can you compare a linear function represented in a table to one represented as a graph?

To compare a linear function in a table to one represented as a graph, you can examine key characteristics such as the slope and y-intercept. In the table, the slope can be determined by calculating the change in y-values divided by the change in x-values between two points. On the graph, the slope is visually represented by the steepness of the line, while the y-intercept is the point where the line crosses the y-axis. Both representations should reflect the same linear relationship if they describe the same function.


Is it possible for the graph of a function to have more than one x-intercept?

Yes. (e.g y=x2-1.)


What is the graph of a linear function?

the graph is called a line