The slope of a straight line is calculated by taking the difference in the y-coordinates (rise) of two points on the line and dividing it by the difference in the x-coordinates (run) of the same two points. This is expressed mathematically as ( m = \frac{y_2 - y_1}{x_2 - x_1} ), where ( m ) is the slope, and ( (x_1, y_1) ) and ( (x_2, y_2) ) are the coordinates of the two points. A positive slope indicates the line rises from left to right, while a negative slope indicates it falls. If the line is horizontal, the slope is zero; if vertical, the slope is undefined.
Slope of a straight line = (y1-y2)/(x1-x2)
Slope of a straight line is the same at all points on the line, whereas for a curved line it changes.
The steepness of a straight line is described by its slope, which quantifies the change in the vertical direction (rise) relative to the change in the horizontal direction (run). Mathematically, the slope (m) is calculated as ( m = \frac{\Delta y}{\Delta x} ). A positive slope indicates the line rises as it moves from left to right, while a negative slope indicates it falls. A slope of zero represents a horizontal line, and an undefined slope corresponds to a vertical line.
The slope between any two points on a straight line is constant because a straight line represents a linear relationship between the two variables. This means that the rate of change remains consistent regardless of which two points you choose on the line. Mathematically, the slope is calculated as the change in the vertical direction (rise) over the change in the horizontal direction (run), and for a straight line, this ratio does not vary. Therefore, the slope remains the same for all pairs of points on that line.
The gradient of the straight line
Slope of a straight line = (y1-y2)/(x1-x2)
The straight line with no slope is a point
A slope is 0 if it is a straight horizontal line. A slope is undefined if it is a straight vertical line.
Slope of a straight line is the same at all points on the line, whereas for a curved line it changes.
slope thatequals zereo
The slope between any two points on a straight line is constant because a straight line represents a linear relationship between the two variables. This means that the rate of change remains consistent regardless of which two points you choose on the line. Mathematically, the slope is calculated as the change in the vertical direction (rise) over the change in the horizontal direction (run), and for a straight line, this ratio does not vary. Therefore, the slope remains the same for all pairs of points on that line.
-- If the position/time graph is a straight line, then the speed is constant, and the slope of the line is the average speed, as well as the instantaneous speed at any moment. -- If the position/time graph is not a straight line, then the average speed between two moments in time is the slope of a straight line drawn between those two points on the graph.
the formula for slope is y=mx+b, a horizontal line has the slope of zero and the slope of a vertical line can be answered as undefined
If it is a straight line, then yes.
The gradient of the straight line
gradient
0 degrees.