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.
Rise of a line is a positive slope.
positive
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.
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.
If the slope (line)is in upward direction, it is called positive slope
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.
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
Rise of a line is a positive slope.
positive
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.
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.
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.