points a (2,5) and b (7,8) lie on a line. what is the equation of the line in standard form { ax + by = c } ?
2007-11-07 23:57:22 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
m = (8 - 5) / (7 - 2)
m = 3/5
y - 5 = 3/5 (x - 2)
y = (3/5) x - 6/5 + 25/5
y = (3/5) x + 19/5
Or
5y = 3x + 19
3x - 5y = - 19
2007-11-08 04:26:44 · answer #1 · answered by Como 7 · 2⤊ 0⤋
The slope of the line is given by the change in y value divided by the change in x value i.e.
m = (5-8)/(2-7) = 3/5 = 0.6
Therefore, the equation is of the form:
y = 0.6x + c
Since we know it passes through the point (2,5), we can substitute the coordinates into the equation:
5 = 0.6(2) + c
therefore c = 3.8
Therefore, the equation is: y = 0.6x + 3.8, or in the form you wanted: y - 0.6x = 3.8, or y - 3/5 = 19/5. Multiply through by 5 to give 5y - 3x = 19
2007-11-08 08:02:40 · answer #2 · answered by Dan A 6 · 0⤊ 0⤋
The slope is 8-5/7-2 = 3/5
y = 3/5x + b
5 = 3/5*2 + b
b = 5 - 6/5
b = 19/5
y = 3/5x -19/5
2007-11-08 08:04:02 · answer #3 · answered by gebobs 6 · 0⤊ 0⤋
well dude, this is a damn easy question,
try first by applyin the formula, if u don get it ask me and ill tell u!!!!!
2007-11-08 08:00:39 · answer #4 · answered by Anonymous · 0⤊ 0⤋
half diammetre of circumference of a circle,(pi-r-squared)
2007-11-08 08:03:36 · answer #5 · answered by lazarlin 3 · 0⤊ 0⤋