example: -3x + 2y = 8. if a negative x term is not correct, what should i do instead?
2007-11-27 14:34:09 · 6 answers · asked by Ash 1 in Science & Mathematics ➔ Mathematics
As far as I know, standard form permits a negative coefficient for x, but I prefer not to start a line with the - sign so
- 3x + 2y = 8
when multiplied by - 1 becomes
3x - 2y = - 8
2007-11-27 14:46:55 · answer #1 · answered by Helmut 7 · 2⤊ 0⤋
First, write the equation in slope-intercept form, i.e., y = mx + b, where "m" is the slope, and "b" is the y-intercept; then convert to general form. The formula for the slope is given by: m = [(y2) - (y1)]/[(x2) - (x1)] = [(8) - (-3)]/[(4) - (-7)] = 11/11 = 1 The bisection point is given by: x-bisector = [(x1) + (x2)]/2 = [(-7) + (4)]/2 = -3/2 y-bisector = [(y1) + (y2)]/2 = [(-3) + (8)]/2 = 5/2 Thus, the bisection point is (-3/2,5/2). To be perpendicular, the new line's slope must be a negative-reciprocal of the first line's slope, i.e.., m = -1/1 = -1. The equation for the new line becomes: y = -x + b Substitute the x- and y-terms from the bisection point and solve for the y-intercept, b: 5/2 = -(-3/2) + b b = 5/2 - 3/2 = 2/2 = 1 Thus, the equation for the perpendicular bisector is: y = -x + 1 ...or, in general form: x + b = 1 A = 1; B = 1; C = 1
2016-03-14 01:32:55 · answer #2 · answered by Anonymous · 0⤊ 0⤋
-2x+6 =12
2017-02-05 10:53:33 · answer #3 · answered by Gladys 1 · 0⤊ 0⤋
Multiply both sides of the equation by -1.
2007-11-27 14:40:29 · answer #4 · answered by Silas 2 · 0⤊ 0⤋
no just multiply by negative 1
2013-12-18 12:55:21 · answer #5 · answered by Erika 1 · 0⤊ 0⤋
yes, you can have a negative coefficient for x
2007-11-27 14:42:25 · answer #6 · answered by Theta40 7 · 0⤊ 0⤋