The slope of a graph provides general information about a graph. It tells you how much the y value of the graph increases (or decreases, if the slope is negative) for a given increase in x value. if you look at the general equation of a graph y = a x + b the value "a" represents the slope and the "b" value represents the value of y when x = 0. When the graph is not a straight line, the discussion gets more complicated, however the slope still describes changes in the value of the graph (you have to use calculus for this situation.)
Take a tangent at the point where you want the slope. Then the slope of the graph at that point is the slope of the tangent, which is found by taking another point on the tangent and then taking the change in y between the two points and divid it by the change in x.
A smooth line drawn between points on a graph to reflect the general trend.
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 average slope in that interval is('y'-value at 30 s) - ('y'-value at 10 s)/20 s
The answer depends on the slope of which graph.
To find the slope on a distance vs. time graph, you calculate the change in distance divided by the change in time between two specific points on the graph. The slope represents the speed or velocity of an object. A steeper slope indicates a greater speed.
Slope
The slope of a line on a graph represents the rate of change between two variables. A steeper slope indicates a faster rate of change, while a shallower slope indicates a slower rate of change. The slope can provide information about the relationship between the variables being compared.
The slope of a graph provides general information about a graph. It tells you how much the y value of the graph increases (or decreases, if the slope is negative) for a given increase in x value. if you look at the general equation of a graph y = a x + b the value "a" represents the slope and the "b" value represents the value of y when x = 0. When the graph is not a straight line, the discussion gets more complicated, however the slope still describes changes in the value of the graph (you have to use calculus for this situation.)
Take a tangent at the point where you want the slope. Then the slope of the graph at that point is the slope of the tangent, which is found by taking another point on the tangent and then taking the change in y between the two points and divid it by the change in x.
A smooth line drawn between points on a graph to reflect the general trend.
The slope of the speed/time graph is the magnitude (size) of the object's acceleration.
-- 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 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 average slope in that interval is('y'-value at 30 s) - ('y'-value at 10 s)/20 s
The name of the slant on a line graph is called the slope. The slope represents the rate of change between two points on the graph and is calculated by dividing the change in the y-coordinates by the change in the x-coordinates. A positive slope indicates an upward trend, while a negative slope indicates a downward trend.