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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.
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.
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
What do you know about the slope when x equals 0?
Without an equation, you know nothing about the slope of a line just because x equals 0. Slope is the change in y value divided by the change in x value over a segment of a line. When you only have a single x value, there is no change so the slope is undefined. Or if you are stating the value of x is 0 for all values of y, then the slope is infinite.
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).
What are non examples of slope?
Non-examples of slope include horizontal lines, which have a slope of zero, and vertical lines, which have an undefined slope. Additionally, a constant function, represented by a flat line, also does not demonstrate slope since it does not change in the y-value as the x-value changes. Finally, any situation where there is no change in y despite a change in x does not represent a slope.
