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.
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.
The slope of graph of V->t gives the acceleration
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.
Rise divided by run. (Y2 - Y1) / (X2 - X1) - with (X1, Y1) and (X2, Y2) being two points on the graph.
The slope of a velocity-time graph represents acceleration.
acceleration
the slope at any point on the graph is the acceleration
The slope of the tangent line in a position vs. time graph is the velocity of an object. Velocity is the rate of change of position, and on a graph, slope is the rate of change of the function. We can use the slope to determine the velocity at any point on the graph. This works best with calculus. Take the derivative of the position function with respect to time. You can then plug in any value for x, and get the velocity of the object.