To say that an equation is directly proportional is somewhat incorrect. What we say instead is that a variable on one side of the equation (in other words, on one side of the equals sign) is directly proportional to another variable on the other side.
What this means is that if when one variable increases (gets bigger), the other one does, too, then these variables are directly proportional to each other.
For example, take the equation for velocity.
v = d/t
Here, v is velocity, d is distance, and tis time. Lets try a few numbers.
v = 100 miles/2 hours = 50mi/hr.
v = 200 miles/2 hours = 100mi/hr.
v = 400 miles/2 hours = 200mi/hr.
What you may notice here is that as the value of d (the number of miles being traveled), gets bigger, so does the value of v (velocity, or speed, in miles/hour). This is because, in this equation, velocity is directly proportional to distance.
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No. Although this an equation of a straight line and y increases when x increases, a directly proportional equation has y/x = constant. So if b is zero it is in direct proportion, but not if b is non zero
No.A directly proportional graph has an equation of the form y = mx. It always passes through the origin.A linear graph will have an equation in the from y = mx + c. This has a y-intercept at (0, c). It doesn't pass through the origin unless c = 0. The directly proportional graph is a special case of a linear graph.
Directly proportional relationship is F=ma, F is directly proportional to a. Inversely proportional relationship is v=r/t, v is inversely proportional to t.
It is a straight line equation in the form of: y = mx+b whereas 'm' is the slope and 'b' is the y intercept
According to the equation [ y = 2x ], 'y' is directly proportional to 'x' .
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Speed is directly proportional to distance traveled in a given amount of time. This means that as distance increases, the speed at which an object is traveling also increases proportionally.
No. Although this an equation of a straight line and y increases when x increases, a directly proportional equation has y/x = constant. So if b is zero it is in direct proportion, but not if b is non zero
The energy in a photon of light is proportional to its frequency, according to the equation E=hf, where E is energy, h is the Planck constant, and f is frequency. This means that photons with higher frequencies have higher energy levels.
If a variable (such as y) is directly proportional to another variable (such as x), they both increase and decrease simultaneously. An equation for two directly proportional variables is:y = axIt's sort of like a linear equation, but it always goes through the origin.An example is y = 6x. Notice that it forms a straight line and crosses the origin, and that y and x increase in the same direction.
r = k(t^3 / s) where k is a constant of proportionality.
No.A directly proportional graph has an equation of the form y = mx. It always passes through the origin.A linear graph will have an equation in the from y = mx + c. This has a y-intercept at (0, c). It doesn't pass through the origin unless c = 0. The directly proportional graph is a special case of a linear graph.
Directly proportional relationship is F=ma, F is directly proportional to a. Inversely proportional relationship is v=r/t, v is inversely proportional to t.
directly proportional to its temperature. This relationship is known as Charles's Law.
P(watt)=energy/time. Where power in measure in watt directly proportional to energy(work) and inversely proportional to time in seconds. 1W = .001kW
The equation for current flow (I) in a circuit is given by Ohm's Law: I = V/R, where V is the voltage across the circuit and R is the resistance of the circuit. This equation states that the current flowing through a circuit is directly proportional to the voltage across it and inversely proportional to the resistance of the circuit.