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What is a slope of a graph?

Updated: 4/28/2022
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11y ago

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Did you mean the slope of a line/parabola/etc.? A slope, in its simplest terms, is how much a line angles away from the horizontal. It describes the steepness, sense, and incline of a line.

Finding the slope of a line requires two distinct point ON a line. It's given by the equation: a = (y2 - y1) / (x2 - x1) where a is the slope, (x1,y1) are the coordinates of the first point, and (x2,y2) the coordinates of the second point. An equation for a straight line is usually represented as y = a*x + b; you could extract the slope by simply looking at the given values of a (the slope).

Finding the slope of a curve (parabola, etc.) is taken at the tangent point. As you move along the curve, the slope changes (i.e the slope is NOT constant). The slope of a curve can be found by taking the derivative of the function that defines the curve. After derivation, you just plug in the values of x at where you want to find the slope at.

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Q: What is a slope of a graph?
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What is a slope when dealing with 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.


What does a slope of a time graph represent?

The slope of a velocity-time graph represents acceleration.


What is the slope of a line on distance time graph?

acceleration


What is slope of velocity v time graph?

the slope at any point on the graph is the acceleration


Is the steepness of a line on a motion graph is called a slope?

"Slope" is the steepness of the line on any graph.


What does slope of a speed time graph represent?

The slope of a velocity-time graph represents acceleration.


What does the slope of a speed-time graph represent?

The slope of a velocity-time graph represents acceleration.


What does the slope of the distance time graph represent?

The slope of a distance-time graph represents speed.


The slant of a line on a graph is called?

the slope.


How you graph the slope on a graph?

you need 2 points on the line y2-y1 slope=----- x2-x1


What is the slope of a graph line?

it is impossible to tell the slope of a line graph without proper points to evaluate from.


When velocity is changing what is happening to the slope on a position versus time graph?

That slope is the 'speed' of the motion. If the slope is changing, then the speed is changing. That's 'accelerated' motion. (It doesn't matter whether the speed is growing or shrinking. It's still 'accelerated' motion. 'Acceleration' does NOT mean 'speeding up'.)