Find the coordinates of three points that lie on the line passing through the points (0,0) and (3, -4). Explain your method. Please help me with this answer!
2007-09-18 13:09:08 · 7 answers · asked by Latrece S 1 in Science & Mathematics ➔ Mathematics
m = - 4 / 3
Equation of line is y = (- 4 / 3) x
Possible points are (0 , 0) , (3 , - 4) , (6 , - 8)
2007-09-20 07:32:01 · answer #1 · answered by Como 7 · 1⤊ 0⤋
Here is a generic line function f(x) = a*x + b
Substitute the given coordinates (0,0) for x and f(x):
0 = a * 0 + b => b = 0
Substitute the given coordinates (3, -4) for x and f(x):
-4 = a * 3 + 0 => a = -4/3
So, the given line function is: f(x) = (-4/3) * x
Now pick three different x values,e.g. 1, 3, and 6 and calculate f(x) for them.
f(1) = -4/3
f(3) = -4
f(6) = -8
Actually, since you already know that the line passes through (0,0) and (3, -4) you just need to find one more point, e.g. the first one above (1, -4/3).
2007-09-18 20:19:23 · answer #2 · answered by Hakuna Matata 2 · 0⤊ 1⤋
Find the average of the x-coordinates then find the average of the y-coordinates. Put the results into a point.
(0+3) / 2 = 3/2
(0-4) / 2 = -2
Midpoint: (3/2,-2)
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EDIT: Lol, sorry wasn't reading the question...
Answerer on top has the answer....
2007-09-18 20:14:46 · answer #3 · answered by MathDude356 3 · 0⤊ 0⤋
Determine the equation of the line passing through the given points and then pick any three values of x between 0 and 3 to get the corresponding y value
2007-09-18 20:13:47 · answer #4 · answered by kindricko 7 · 1⤊ 0⤋
Just find the averages of both x's and both y's and put them in a coordinate parenthesis.
2007-09-18 20:16:48 · answer #5 · answered by hmata3 3 · 0⤊ 0⤋
haha...we just learned this today too. but sadly i forgot.
2007-09-18 20:12:05 · answer #6 · answered by angelness1992 2 · 0⤊ 1⤋
x1+x2
--------- y1+y2
2 -----------
2
2007-09-18 20:16:18 · answer #7 · answered by nathan K 1 · 0⤊ 0⤋