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1. Change in y over change in x. For a linear equation, this is just m = (y2-y1)/(x2-x1) where (x1,y1), (x2,y2) are any two points on the line.
2. Evaluating the tangent of the angle relative to horizontal. For example, if a ramp has a 10 degree angle above horizontal, then the slope is tan(10).
3. For any differentiable function y in terms of x, dy/dx gives the expression for the slope of a tangent line through a point on y. If y = x3+1, then dy/dx = 3x2, and at the point (1,2), dy/dx = 3, so the slope at this point is 3. Finding the derivative of a function is very similar to finding the slope of two points on a function that are infinitely close together.
What else can I help you with?
What are three ways to express the concept of slope?
Slope can be expressed in three main ways: first, as a ratio of the rise (vertical change) to the run (horizontal change) between two points on a graph. Second, it can be represented as a mathematical equation, typically in the form ( y = mx + b ), where ( m ) denotes the slope. Finally, slope can also be described verbally, as the steepness or incline of a line, indicating how much the dependent variable changes for a unit change in the independent variable.
What is the formula for determining the slope of a line?
The formula for finding the slope of the line is this: m = (Y2-Y1)/(X2-X1)
What are three ways to find slope?
1.) Triangle method 2.)Formula- Y2-Y1 -------- X2-X1 3.)two points
What is the easiest form to work with when finding the slope of a line?
y = mx + b where m is the slope and b is the y-intercept.
What is the equation of a slope intercept form?
The equation of slope intercept form is y=mx+b. This would be used in finding the slope of an object and is the most efficient way to date in doing so.
What does the slope represent when finding the slope between age and weight?
You have two ways you could label the axes. Depending on how you choose to do it,the slope of the graph could be pounds per year, or it could be years per pound.
What are useful ways of finding the value of a variable?
The three primary ways are: - writing an equation - drawing a diagram - reading a table
Finding the slope?
(-6,-5) (4,4)
What is the formula for finding slope?
The answer depends on what information you have.
Finding the slope of vertical lines?
It is not defined.
Why is slope important?
In a mathmatical sense, slope is important for finding velocity or a change in behavior of something. The slope correlates to a positive or negatve depending on the angle.
What is the formula for determining the slope of a line?
The formula for finding the slope of the line is this: m = (Y2-Y1)/(X2-X1)
What are three ways to find slope?
1.) Triangle method 2.)Formula- Y2-Y1 -------- X2-X1 3.)two points
How do you make a formula to find slope of an area?
You can make a formula of finding the slope of an area buy first finding the equation of the line using: y - y1 = m ( x - x1 ).
How does finding slope compare to finding the rate of change between two variables in a linear relationship?
The slope of a line is the same thing as the rate of change between two variables in a linear relationship.
What is the easiest form to work with when finding the slope of a line?
y = mx + b where m is the slope and b is the y-intercept.
How do you calculate slope of a curve?
If the curve is on the xy-plane, finding an expression for dy/dx will give you the slope of a curve at a point.
