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What is an negative slope?
A negative slope is a slope occurs whenever an increase in the x value of the equation of a line causes the y value to decrease. If you're looking at the graph, the line with slope downwards from left to right.
When finding the slope of the trend line what does the slope mean about the data of the scatterplot?
The slope of the trend line is the rate of change of the data. It is the ratio of the change of the dependent variable to the rate of change of the independent variable. Slope represents the value of the correlation.
What does an positive slope look like?
a positive slope is a slope which increases in value "y" as well as its value for "x" i.e. (0,0)(2,2) would be listed as positive because the values increase olong the slope of the line
What happens to the value of y as x increases if the slope is negative?
If the slope is negative, y decreases as x increases. The slope goes from top-left of the graph (Quadrant II) to the lower-right of the graph (Quadrant IV).
Considering the graph of a line with a negative slope what is true?
the line goes down from left to right as the absolute value of the negative slope get bigger, the graph of the line gets steeper as the absolute value of the negative slope gets smaller, the graph of the line gets less steep ( apex )
The slope of a line is the ratio of what?
Rise/run or y-value change (can be negative) / x-value change (can be negative)
What is an negative slope?
A negative slope is a slope occurs whenever an increase in the x value of the equation of a line causes the y value to decrease. If you're looking at the graph, the line with slope downwards from left to right.
When the value of the slope gets smaller what happens to the graph?
When the value of the slope gets smaller, the graph of the line becomes less steep. A smaller slope indicates a more gradual increase or decrease, depending on whether the slope is positive or negative. If the slope approaches zero, the line becomes nearly horizontal. This change affects the rate of change of the dependent variable with respect to the independent variable.
Is the change or rate of change of a line?
The change or rate of change of a line refers to its slope, which indicates how much the y-value changes for a given change in the x-value. Mathematically, the slope is calculated as the rise (change in y) over the run (change in x). A positive slope means the line rises as it moves from left to right, while a negative slope indicates it falls. In essence, the slope describes the steepness and direction of the line.
Is a negative slope steeper than a posotive slope?
In general, the steepness of a slope is determined by its absolute value, not the sign. A negative slope indicates a downward trend, while a positive slope indicates an upward trend. If both slopes have the same absolute value, they are equally steep, but a negative slope will visually appear to descend, while a positive slope will ascend. Thus, a steeper slope can be negative or positive, depending on its absolute value.
What indicates the direction of a relationship in a linear function?
The slope of the line. A positive slope shows that the two variables increase or decrease together. A negative slope indicates they move in opposite directions. A slope of 0 indicates that the "dependent" variable has the same, constant, value whatever value the independent variable takes.
What is the amount of increase or decrease in a function?
The amount of increase or decrease in a function is determined by the difference between the final value and the initial value of the function. If the final value is greater than the initial value, there is an increase; if the final value is less than the initial value, there is a decrease. The magnitude of this difference indicates the extent of the change in the function.
What does the slope of a line indicate about the line?
The slope of a line indicates the rate of change between the y-axis and x-axis values, representing how steep the line is. A positive slope means the line rises as it moves from left to right, while a negative slope indicates it falls. A slope of zero illustrates a horizontal line, indicating no change in the y-value regardless of the x-value. Conversely, an undefined slope corresponds to a vertical line, where the x-value remains constant while the y-value changes.
How do you calculate a percentage change increase or decrease?
the new value minus the old value, then divide it by the old value, times 100%, if the value is positive, it's the percentage increase, if it's negative, it's the percentage decrease.
When finding the slope of the trend line what does the slope mean about the data of the scatterplot?
The slope of the trend line is the rate of change of the data. It is the ratio of the change of the dependent variable to the rate of change of the independent variable. Slope represents the value of the correlation.
Why use slopes?
The slope of a graph provides general information about a graph. It tells you how much the y value of the graph increases (or decreases, if the slope is negative) for a given increase in x value. if you look at the general equation of a graph y = a x + b the value "a" represents the slope and the "b" value represents the value of y when x = 0. When the graph is not a straight line, the discussion gets more complicated, however the slope still describes changes in the value of the graph (you have to use calculus for this situation.)
The change in the y-value per change in the x-value is a ratio often referred to as the?
slope
