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.
Chat with our AI personalities
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.