Yes, a line with a positive slope is a function as long as it passes the vertical line test, meaning that for each value of x, there is only one corresponding value of y. A positive slope indicates that as x increases, y also increases, which maintains the definition of a function. Since a straight line has a consistent slope and does not repeat y-values for the same x-value, it qualifies as a 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.
A vertical line is neither positive nor negative because the slope is undefined. An undefined slope creates a vertical line, hence no slope to calculate. An example of a vertical line would be x=2 or a "slope" of 2/0 (undef. slope). In addition, a vertical line is not even a function because it has repeating input(x) values.
No, a line with a positive slope and a line with a negative slope cannot be parallel. Parallel lines have the same slope, meaning they rise or fall at the same rate. A positive slope indicates that a line rises as it moves from left to right, while a negative slope indicates that a line falls. Therefore, these two types of lines will eventually intersect if extended far enough, demonstrating that they are not parallel.
Rise of a line is a positive slope.
positive
No because the slope of a line can be positive or negative
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.
The slope of a linear function is also a measure of how fast the function is increasing or decreasing. The only difference is that the slope of a straight line remains the same throughout the domain of the line.
If the slope (line)is in upward direction, it is called positive slope
A vertical line is neither positive nor negative because the slope is undefined. An undefined slope creates a vertical line, hence no slope to calculate. An example of a vertical line would be x=2 or a "slope" of 2/0 (undef. slope). In addition, a vertical line is not even a function because it has repeating input(x) values.
Never.
a line with a positive slope rises from left to right
No, a line with a positive slope and a line with a negative slope cannot be parallel. Parallel lines have the same slope, meaning they rise or fall at the same rate. A positive slope indicates that a line rises as it moves from left to right, while a negative slope indicates that a line falls. Therefore, these two types of lines will eventually intersect if extended far enough, demonstrating that they are not parallel.
Rise of a line is a positive slope.
The correct properties are found in answer A. The slope of a line is always positive, no matter which way the line is angled or heading.
positive
The slope of a line and the tangent of the angle between the positive x-axis and the line are related because the tangent of the angle is defined as the ratio of the y-coordinate and the x-coordinate of some point on the line.