Lines and Equations a ≠ A Standard Form – Slope m
{"Image DocumentName": "Lines and Equations a \u2260 A Standard Form \u2013 Slope m", "Image ImageDescription": "Equations of Lines. Standard Form \u2013 Slope. Rewriting the equation: This has slope-intercept form with. y. = x. A. B. \u2013 + C. Note: a \u2260 A. = mx + b. b \u2260 B. , Standard Form. Any linear equation can written in standard form, so equations in either point-slope form or slope-intercept form can be converted to standard form. The big advantage for standard form becomes apparent when dealing with systems of linear equations, especially those with more than two variables. This form is then adaptable to the matrix techniques of linear algebra. Note that the slope and the coordinates of both intercepts can be read directly from the coefficients in the equation. The form is not unique, since all the coefficients can be multiplied by any constant k to produce an equivalent equation. If B = 0 then the equation becomes. Ax = C or x = C/B. which means x is constant and the graph is a horizontal line. Also note the constants B and b are do not represent the same number. As in all of mathematics, upper and lower case characters are generally used to represent different things. Slope = A. B. \u2013 = m. 7/2/2013. Linear Equations. Linear Equations. 7/2/2013.", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}