i need formula
2007-08-25 14:34:15 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Use the equation y - y1 = m(x - x1). Any straight line can be expressed in this form.
The slope of the original line is -4. Therefore the slope of the new line, perpendicular to the first, must be 1/4 (the negative reciprocal).
y - y1 = (1/4)(x - x1)
The line passes through (2,-5).
Therefore y - (-5) = (1/4)(x - 2)
y + 5 = (1/4)x - 1/2
4y + 20 = x - 2
x - 4y - 22 = 0
2007-08-25 14:42:31 · answer #1 · answered by mj_ 2 · 0⤊ 0⤋
To find a perpendicular line, the slope should be opposite and inverse. This mean that -4 should be 1/4
y = 1/4 x + b
now, you say it passes through (2; -5) so we substitute this in the formula
-5 = 1/4 *2 + b
-5= 1/2 + b
b= -5 -1/2
b= -11 / 2
The final formula is y= 1/4 x - 11/2
2007-08-25 22:38:34 · answer #2 · answered by G88 3 · 0⤊ 0⤋
slope of perpendicular line=1/4
EQ of line passing through (2,-5) and slope 1/4 is
y+5=1/4(x-2). ANS
2007-08-25 21:48:06 · answer #3 · answered by Anonymous · 0⤊ 0⤋
y = mx+b
so y= x/4 +b
-5 = 2/4 +b
b= -5.5
y = x/4 -5.5
2007-08-25 21:44:15 · answer #4 · answered by ironduke8159 7 · 1⤊ 0⤋