Slope = (vertical change)/(horizontal change), commonly referred to as rise/run.
If the graph is a straight line, then you can count squares or measure how much change in vertical, over a specified change in horizontal.
If it is a curve, then you need to have a tangent line (a line that touches the curve at a specific point and has the same slope as the line), then you can determine the slope of that line using the method described, above.
You can't determine velocity from that graph, because the graph tells you nothing about the direction of the motion. But you can determine the speed. The speed at any moment is the slope of a line that's tangent to the graph at that moment.
Slope of a straight line on a Cartesian coordinated graph is 'rise over run' = y2-y1/x2-x1 = change in 'y'/change in 'x'
If the graph, from left to right, is going upwards, with an increasing gradient (slope) then it is undergoing growth. If it is going downwards, with a decreasing gradient (slope) then it is undergoing decay.
To determine the trend of linear function graph or equation you would simply look at the slope of the line. This is represented by the m in the equation, f(x) = mx + b.
The slope for a straight line graph is the ratio of the amount by which the graph goes up (the rise) for every unit that it goes to the right (the run). If the graph goes down, the slope is negative. For a curved graph, the gradient at any point is the slope of the tangent to the graph at that point.
To determine the speed of an object from a graph, you can calculate the average speed by finding the slope of the line connecting two points on the graph. The steeper the slope, the higher the speed. Alternatively, you can also find the instantaneous speed by looking at the slope of the tangent line at a specific point on the graph.
To determine the speed of a body from a distance-time graph when the body starts from rest, you can find the slope of the graph. The slope of a distance-time graph represents the speed of the body. A steeper slope indicates a higher speed, while a shallower slope indicates a lower speed.
You can't determine velocity from that graph, because the graph tells you nothing about the direction of the motion. But you can determine the speed. The speed at any moment is the slope of a line that's tangent to the graph at that moment.
Acceleration can be determined from a velocity-time graph by calculating the slope of the line on the graph. The steeper the slope, the greater the acceleration. If the graph is curved, acceleration can be calculated by finding the tangent to the curve at a specific point.
From a velocity-time graph, you can calculate the acceleration by finding the slope of the graph at a certain point. The area under the graph represents the displacement of the object. You can also determine the direction of motion based on the slope of the graph (positive slope indicates motion in one direction, negative slope indicates motion in the opposite direction).
To find resistance from a graph of voltage vs. current, you can calculate the slope of the graph. Resistance is equal to the slope, so you can divide the voltage by the current to determine the resistance. The unit of resistance is ohms (Ω).
Slope of a straight line on a Cartesian coordinated graph is 'rise over run' = y2-y1/x2-x1 = change in 'y'/change in 'x'
If the graph, from left to right, is going upwards, with an increasing gradient (slope) then it is undergoing growth. If it is going downwards, with a decreasing gradient (slope) then it is undergoing decay.
Rate of change is essentially the same as the slope of a graph, that is change in y divided by change in x. If the graph is a straight-line, the slope can be easily calculated with the formula:Vertical change ÷ horizontal change = (y2 - y1) / (x2 - x1)
To determine the trend of linear function graph or equation you would simply look at the slope of the line. This is represented by the m in the equation, f(x) = mx + b.
The slope for a straight line graph is the ratio of the amount by which the graph goes up (the rise) for every unit that it goes to the right (the run). If the graph goes down, the slope is negative. For a curved graph, the gradient at any point is the slope of the tangent to the graph at that point.
The slope of a velocity versus time graph gives acceleration. By calculating the slope of the graph at a particular point, you can determine the acceleration of an object at that specific moment in time.