Table of Contents
Can a slope ever be negative?
A negative slope means that two variables are negatively related; that is, when x increases, y decreases, and when x decreases, y increases. Graphically, a negative slope means that as the line on the line graph moves from left to right, the line falls.
How do you know if a function has a negative slope?
What is the behavior of the graph of the equation y x 3?
Since the leading coefficient is negative, the graph falls to the right. Use the degree of the function, as well as the sign of the leading coefficient to determine the behavior. 1. Even and Positive: Rises to the left and rises to the right.
What is an example of a negative slope?
For example, as the number of people that quit smoking (x) increases, the number of people contracting lung cancer (y) decreases. A graph of this relationship has a negative slope.
Can there be a slope of 0?
The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0). because division by zero is an undefined operation.
How do you know if end behavior is the same or opposite?
Explanation: The end behavior of the graph of a polynomial is determined by the its degree and the sign of the leading coefficient. For the even degrees the graph is either up or down on both ends i.e: the graph has the same direction on both ends . For the odd degrees the graph goes opposite directions.
What is the end behavior of Y?
As x→ negative infinity, y→ negative infinity and as x→ positive infinity, y→ negative infinity.
What if the Y intercept is negative?
A positive y-intercept means the line crosses the y-axis above the origin, while a negative y-intercept means that the line crosses below the origin.
Why is there no Y-slope for x = -3?
Hence the slope is not defined. A y intercept occurs when we make x equal to 0. Since this is prohibited by the equation x = − 3, there is no y intercept.
What does it mean if a function has a negative slope?
A function with zero slope is represented by a horizontal line, and a function with an undefined slope is represented by a vertical line. Slope is usually expressed as an absolute value. A positive value indicates a positive slope, while a negative value indicates a negative slope.
What does a slope of -2 mean on a graph?
A slope of -2 means that for every positive change in x, there will be twice as much negative change in y . A negative slope demonstrates a negative correlation between the following: Negative correlation occurs when the two variables of a function move in opposite directions. As the value of x increases, the value of y decreases.
Why is there no y intercept on the slope of this line?
Explanation: Slope is defined for two points with different x coordinates. This line contains no two such points. Hence the slope is not defined. A y intercept occurs when we make x equal to 0. Since this is prohibited by the equation x = −3, there is no y intercept.