# Linear function f

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Since f(0)=-1, f(3)=-10 this means we have the two points (0,-1) and (3,-10) First let's find the slope of the line through the points and. Note: is the first point . So this means that and . Also, is the second point . So this means that and . Start with the slope formula. Apr 24, 2017 · Algebraic linear equations are mathematical functions that, when graphed on a Cartesian coordinate plane, produce x and y values in the pattern of a straight line. The standard form of the linear equation can be derived from the graph or from given values. Linear equations are fundamental to algebra, and thus ...

Notice that we obtain the same linear function f (x) = − 5 4 x + 9 4. Note: Sometimes a variable is not expressed explicitly in terms of another; however, it is still assumed that one variable is dependent on the other. For example, the equation 2 x + 3 y = 6 implicitly represents the function f (x) = − 2 3 x + 2. Another way is to find linear function using the point-slope form of a line. Summary Adding Linear Functions. we saw when we added two linear functions f(x),g(x) we get a linear function whose slope is the slope is the sum of the slopes of f(x) and g(x) and y-intercepts are the sum of the y-intercepts of f(x) and g(x).

Note: In Excel 2016, this function is replaced with FORECAST.LINEAR as part of the new Forecasting functions, but it's still available for compatibility with earlier versions. FORECAST.ETS function Returns a future value based on existing (historical) values by using the AAA version of the Exponential Smoothing (ETS) algorithm A linear equation in x is one that can be written in the form ax + b = 0 for some numbers a and b with a not equal to 0. A linear equation has exactly one solution. Furthermore, the approach used in the last example of finding an equivalent equation of the form x = c always works with linear equations.