If two linear equations are given the same slope it means that they are parallel and if the product of two slopes m1*m2=-1 the two linear equations are said to be perpendicular. The slope of a line passing through points (x1,y1) and (x2,y2) is given by The slope, m, is here 1 and our b (y-intercept) is 7. If m, the slope, is negative the functions value decreases with an increasing x and the opposite if we have a positive slope.Īn equation such as y=x+7 is linear and there are an infinite number of ordered pairs of x and y that satisfy the equation. This form is called the slope-intercept form. f(2) means that we should find the value of our function when x equals 2.Ī function is linear if it can be defined byī is the value of the function when x equals zero or the y-coordinate of the point where the line crosses the y-axis in the coordinate plane. It is common to name a function either f(x) or g(x) instead of y. Least common demoninator of 100, ti 84 plus calculator usable on the internet, subtracting, multiplying, adding, dividing mixed numbers. A function assigns exactly one output to each input of a specified type. Logarithmic equations solver, free solving cubic equations worksheet, Multiplication lesson plan models, demo of algebra 2 radical function and rational exponents. In our example above, x is the independent variable and y is the dependent variable.Ī function is an equation that has only one answer for y for every x. The variable which we assign the value we call the independent variable, and the other variable is the dependent variable, since it value depends on the independent variable. Interactive algebra calculators for solving equations, polynomials, rational functions, simplification, vectors, matrices, linear algebra, quaternions. In our equation y=x+7, we have two variables, x and y. We could instead have assigned a value for y and solved the equation to find the matching value of x. If we would have assigned a different value for x, the equation would have given us another value for y. The GCF of 45 and 10 is 5.If we in the following equation y=x+7 assigns a value to x, the equation will give us a value for y.
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