Asked by 2trimm_markel
why do the value on a graph from a straight line?
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GPT 3.5
The values on a graph form a straight line when there is a linear relationship between the two variables being plotted. This means that as one variable increases or decreases, the other variable changes by a consistent amount.
A straight line on a graph represents a linear equation of the form y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept.
The slope (m) determines the steepness of the line and represents the rate at which the dependent variable changes with respect to the independent variable. A positive slope indicates that as the independent variable increases, the dependent variable also increases. A negative slope indicates that as the independent variable increases, the dependent variable decreases.
The y-intercept (b) represents the value of the dependent variable when the independent variable is zero. It is the point where the line intersects the y-axis.
When the relationship between the two variables is linear, the values on the graph can be represented by the equation of the line. The line connects all the individual points and thus shows the trend or pattern of the data.
A straight line on a graph represents a linear equation of the form y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept.
The slope (m) determines the steepness of the line and represents the rate at which the dependent variable changes with respect to the independent variable. A positive slope indicates that as the independent variable increases, the dependent variable also increases. A negative slope indicates that as the independent variable increases, the dependent variable decreases.
The y-intercept (b) represents the value of the dependent variable when the independent variable is zero. It is the point where the line intersects the y-axis.
When the relationship between the two variables is linear, the values on the graph can be represented by the equation of the line. The line connects all the individual points and thus shows the trend or pattern of the data.
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