Function Droite equation of a straight line, Reference | HP 50g

NOTE: When using trigonometric functions and their inverses with complex numbers the arguments are no longer angles. Therefore, the angular measure selected for the calculator has no bearing in the calculation of these functions with complex arguments.

Function DROITE: equation of a straight line

Function DROITE takes as argument two complex numbers, say, x1 + iy1 and x2+iy2, and returns the equation of the straight line, say, y = a + bx, that contains the points (x1, y1) and (x2, y2). For example, the line between points A(5, -3) and B(6, 2) can be found as follows (example in Algebraic mode):

Function DROITE is found in the command catalog (‚N). If the calculator is in APPROX mode, the result will be Y = 5.*(X-5.)-3.

Reference

Additional information on complex number operations is presented in Chapter 4 of the calculator’s user’s guide.

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HP 50g manual Function Droite equation of a straight line, Reference

Contents

HP 50g graphing calculator User’s manual Printing History Preface Table of Contents Calculations with real numbers Calculations with complex numbers Algebraic and arithmetic operations Solution to equations Operations with lists Vectors Matrices and linear algebra Graphics Calculus Applications Multi-variateCalculus Applications Vector Analysis ApplicationsDifferential Equations Probability Distributions Using SD cards Statistical ApplicationsNumbers in Different Bases Equation Library Chapter Getting started Basic OperationsBatteries Page Contents of the calculator’s display MenusTool menu Setting time and date Introducing the calculator’s keyboard ALPHA-Left-Shift function, to enter the lower-case letter p Selecting calculator modes Operating Mode √ 3.*5.-1/3.*3./23.3+EXP2.5Page Lets try now the expression proposed earlier Number Format and decimal dot or comma Standard formatFixed format with decimals Scientific format Engineering format Decimal comma vs. decimal point Angle Measure Coordinate System Selecting CAS settings Explanation of CAS settings Selecting Display modes Selecting the display font Selecting properties of the line editor Selecting properties of the Stack References Selecting properties of the equation writer EQW Chapter Introducing the calculator Calculator objectsEditing expressions in the stack Creating arithmetic expressionsPage Page Creating algebraic expressions 2L 1 + + 2 L + y Using the Equation Writer EQW to create expressions + 2 ⋅ 5 + ⎛ x + 2 ∝ ⋅ ∆y ⎞ Organizing data in the calculator Home directory Variables SubdirectoriesTyping variable names Algebraic mode Creating variables RPN mode Page Checking variables contents Listing the contents of all variables in the screen Using function Purge in the stack in Algebraic modeDeleting variables Using function Purge in the stack in RPN mode Undo and CMD functions Choose boxes vs. Soft Menu @@OK@@ References Chapter Calculations with real numbers Examples of real number calculationsPage Using powers of 10 in entering data Page Using calculator menus Real number functions in the MTH menuHyperbolic functions and their inverses Page Operations with units Units menuPage Available units Attaching units to numbers Unit prefixes Operations with units Unit conversions Physical constants in the calculator QuitPage Defining and using functions Reference Setting the calculator to Complex mode Chapter Calculations with complex numbersDefinitions Entering complex numbers Polar representation of a complex number Simple operations with complex numbers Cmplx menusCmplx menu through the MTH menu Forms the complex number x,y out of real numbers x Functions applied to complex numbers Cmplx menu in keyboard Function Droite equation of a straight line Page Chapter Algebraic and arithmetic operations Entering algebraic objects Simple operations with algebraic objects Functions in the ALG menu Collect Expansion and factoring using log-exp functions Operations with transcendental functions Expansion and factoring using trigonometric functions Functions in the Arithmetic menu FACTORSSIMP2 Polynomials Horner functionVariable Pcoef function Fractions Proot functionQuot and Remainder functions Peval function SIMP2 function Propfrac functionPartfrac function Fcoef function Step-by-step operations with polynomials and fractions Froots function− 5X 2 + 3X − Reference Chapter Solution to equations Symbolic solution of algebraic equationsFunction Isol Function Solve Page Function Solvevx Function Zeros Numerical solver menu Finding the solutions to a polynomial equation Polynomial Equations Enter vector of roots Financial calculations Generating an algebraic expression for the polynomial Solving equations with one unknown through Function Steq Solution to simultaneous equations with Mslv Reference Page Chapter Operations with lists Creating and storing listsOperations with lists of numbers Changing sign Addition, subtraction, multiplication, division Page Lists of complex numbers Functions applied to lists Lists of algebraic objects MTH/LIST menuPage SEQ function MAP functionPage Chapter Vectors Entering vectorsTyping vectors in the stack Storing vectors into variables in the stack Using the Matrix Writer Mtrw to enter vectors Moving to the right vs. moving down in the Matrix Writer Press @GOTO@ 3@@OK@@ 3@@OK@@ @@OK@@ to move to position 3,3 Simple operations with vectors Addition, subtraction MTH/VECTOR menu Multiplication by a scalar, and division by a scalarAbsolute value function Magnitude Dot productCross product Reference Using the Matrix Writer Chapter Matrices and linear algebraEntering matrices in the stack Typing in the matrix directly into the stack Operations with matrices Addition and subtraction MultiplicationMultiplication by a scalar Matrix-vector multiplication Matrix multiplicationCij = ∑aik ⋅ bkj , for i = 1,2,K, m j = 1,2,K, n Raising a matrix to a real power Term-by-term multiplication Identity matrix Inverse matrix Characterizing a matrix The matrix Norm menu Function DETFunction Trace TrA = ∑aii Solution of linear systems Using the numerical solver for linear systems = ⎢1 ⎢x2 Solution with the inverse matrix Solution by division of matrices References Chapter Graphics Graphs options in the calculator Plotting an expression of the form y = fx = 1 exp− xPage Generating a table of values for a function Fast 3D plots Keep the default plot window ranges to read Reference Page Chapter Calculus Applications Calc Calculus menuLimits and derivatives Function lim Lim f Anti-derivatives and integrals Functions Deriv and DervxFunctions INT, INTVX, RISCH, Sigma and Sigmavx Xdx = F x + C Definite integrals Infinite series Functions TAYLR, TAYLR0, and Series= ∑ Reference Chapter Multi-variate Calculus Applications Partial derivatives Multiple integrals Chapter Vector Analysis Applications Del operatorGradient Divergence Curl Solution to linear and non-linear equations Chapter Differential EquationsCALC/DIFF menu Function LdecPage Function Desolve Variable Odetype Laplace Transforms Laplace transform and inverses in the calculator Fourier series Function FourierLf t= F s = 0∞ f t ⋅ e− st dt 2inπt Fourier series for a quadratic function Reference Page Chapter Probability Distributions MTH/PROBABILITY.. sub-menu partFactorials, combinations, and permutations − r + Random numbers MTH/PROB menu part Normal distributionStudent-t distribution Chi-square distribution F distribution Chapter Statistical Applications Entering data Calculating single-variable statistics Sample vs. population Obtaining frequency distributions Page Fitting data to a function y = fx 195238095238 + 2.00857242857*X Correlation Covariance Obtaining additional summary statistics Confidence intervals Page Hypothesis testing Page Reference Page Chapter Numbers in Different Bases Base menu Writing non-decimal numbers Chapter Using SD cards Inserting and removing an SD cardFormatting an SD card Accessing objects on an SD card Storing objects on the SD card Recalling an object from the SD card Purging an object from the SD card Purging all objects on the SD card by reformatting Specifying a directory on an SD card Chapter Equation Library `#EQLIB #EQNLI Step 30 ##¢0#- L *!!!!!!V0!!!!!+ Reference Limited Warranty W-2 Service Europe Asia Pacific Country Telephone numbers America Country Telephone numbers Regulatory information Federal Communications Commission Notice Canadian Notice Korean Notice