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Q: How can it be show that a slope of the line is constant?

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A constant, a flat line

constant slope. really anything will work as long as it stays the same. so if your line is straight then you have a constant velocity. :)

No. It shows zero speed. Velocity is distance/unit time. The slope of the line shows change in distance / change in time. Since distance never changes as time changes, the change in distance is zero. Alternatively, the slope of a horizontal line is zero. If zero speed is considered "constant", then yes, it does show constant speed but the speed is zero.

If the constant velocity is in a positive direction, the slope of a displacement-time graph will be a straight line with a positive slope, and the slope of the line will be the velocity.

find the constant of variation and the slope of the given line from the graph of y=2.5x

A line with a constant y-value and a slope of 0 is known as a horizontal line.

Slope at any point is speed. if slope is constant (staight line)then speed is constant; if curved up speed is accelerating. If curved down it is decelerating

The slope of each point on the line on the graph is the rate of change at that point. If the graph is a straight line, then its slope is constant. If the graph is a curved line, then its slope changes.

Density is the slope of the line. density = mass/volume = constant. Since mass and volume have a linear relationship, then that constant is also the slope of the line on a graph of a comparison of mass to volume ratios.

It would be straight line as the slope of the line is constant acceleration. V = at

It is 1 unit of distance per 1 unit of time.

A line. The derivative of a function is its slope. If the slope is a constant then the graph is a line.

flase

if you define y = constant then the slope of any constant is 0 so if you define the line y = 0 the slope of 0 is 0.

A line whose slope is not constant or not defined. A curved line, a discontinuous line, a vertical line are some examples.

The constant rate of change between two points on a line is called slope.

A straight line with a constant slope. But the reverse is not true. A straight line with a constant slope only means constant speed in the radial direction. The velocity may have components at right angles to the radial direction that are changing.

The Slope is Undefined, the line is vertical

A scatter plot will show the data points on a straight line through the origin, whose slope is the constant of proportionality.

The slope (technically, the slope of the tangent at each point) of a distance-time graph gives the instantaneous velocity. Therefore, if the graph has a constant slope - i.e. it is a straight line - then that indicates a constant velocity (zero acceleration).

It is x - 4y + c = 0 where c is any constant.

The x intercept.

y intercept

A displacement vs. time graph of a body moving with uniform (constant) velocity will always be a line of which the slope will be the value of velocity. This is true because velocity is the derivative (or slope at any time t) of the displacement graph, and if the slope is always constant, then the displacement will change at a constant rate.

A line with the equation:x = a constant valueis a vertical line. Examples of such a line are x = 3, x = 5, x = 10, x = -4.The slope of a vertical line is infinite.