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SleSSi
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i need to find the gradient of the line y-3x=2 how do i do it again?
whozum said:Wait, is this gradient the same gradient as in gradient of a vector field or does it mean gradient like slope of the line?
HallsofIvy said:(I say "(Almost)" because a vertical straight line, like x= 1, cannot be put in that form: it has NO gradient.
Yes, that's exactly right.BenGoodchild said:[y-displacement]/[x-displacement]
No, that's exactly wrong. The equation in question is x= 1. x is always 1: x doesn't change, y can be anything: the equation is change in y/0.and in this case, 0/change in x.
Where in the world did you get that idea? If x= 1 the change is 0! x= 1 means exactly that: x is always 1, not the "change" in x!. Change in x is always a non-zero integer value
Same error: if y= 1 then y does not chage: the slope is 0/change in x= 0.However, if the graph is of y=1 ,then the equation becomes: [change in y]/0.
A gradient in science refers to the change in a variable over a certain distance. It can also be thought of as the slope or steepness of a graph.
To calculate a gradient, you need to find the change in the dependent variable (y) divided by the change in the independent variable (x). This is also known as rise over run or the slope formula.
Finding gradients is important in science because it allows us to analyze and understand changes in variables over a certain distance or time. It can also help us make predictions and draw conclusions from data.
Gradients are used in various fields such as physics, engineering, and economics. Some examples of real-world applications include calculating the rate of change in temperature, determining the slope of a road or hill, and analyzing the growth rate of a population.
Sure, let's say we have a distance-time graph for a car traveling at a constant speed. The gradient of this graph would represent the car's velocity, which is the change in distance over the change in time. So, if the gradient is steeper, it means the car is traveling at a faster speed.