Lines p and q are parallel. The slope of p is 5 and the slope of q is 10/v. What is v?
What is the equation of the line through points (-3, 2) and
(-4, 5)?
2007-08-25 08:26:37 · 8 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Parallel lines have the same slope.
Therefore:
10/v = 5
v = 2.
(y - 2) / (x - (-3)) = (5 - 2) / (-4 -(-3))
(y - 2) / (x + 3) = -3
y - 2 = -3x - 9
y = -3x - 7.
2007-08-25 08:38:50 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Parallel lines have the same slope. Thus, the slopes of p anq are the same, and
5 = 10/v
5v = 10
v = 2
____________________
The two-point canonical form of a line is:
[(y1-y2)/(x1-x2)](x-x1) = y - y1
The problem gives
x1=-3, x2=-4, y1=2, y2=5
Substituting into the two-point form...
[(2-5)/(-3-(-4))](x-(-3)) = y - 2
(-3/1)(x+3) = y - 2
-3x - 9 = y - 2
-3x - 7 = y
2007-08-25 15:43:00 · answer #2 · answered by richarduie 6 · 0⤊ 0⤋
parallel lines have equal slopes. therefore, 10/v=5. we can then isolate the variable, so that v=2.
THe equation is y=-1x+-1
2007-08-25 15:35:21 · answer #3 · answered by savage708 3 · 0⤊ 0⤋
If 'p' & 'q' are parallel then they have the same slop/gradient; in this case '5'
So 5 = 10/v
v = 10/5 = 2
Gradient (m) =
(5-2)/-4 --3)
3/-1
= -3
y = -3x + c
2 = -3(-3) + c
2 = 9 + c
c = 2 - 9 = -7
y = -3x -7
2007-08-25 15:38:52 · answer #4 · answered by lenpol7 7 · 0⤊ 0⤋
v=2 because parallel lines have equal slopes
2007-08-25 15:33:32 · answer #5 · answered by Anonymous · 0⤊ 0⤋
Line p and q will have same slope. so v is 2.
The formula is: (x-x')/(x'-x")=(y-y')'(y'-y")
So, put the points in the equation.
3x+9=2-y
3x+y+7=0
2007-08-25 15:46:59 · answer #6 · answered by Jahir 2 · 0⤊ 0⤋
parrell lines have the same slope so 10 / v = 5
so v = 2
line that passes through the points take the slope of the lines
(y1-y2)/(x1-x2) = m (where m is the slope)
then sub into eqn
y-y1 = m (x -x1)
2007-08-25 15:36:52 · answer #7 · answered by tom t 2 · 0⤊ 0⤋
1337
2007-08-25 15:32:47 · answer #8 · answered by Anonymous · 0⤊ 1⤋