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Which equation represents the line that passes through the points (–3, 4) and (6, 10)?
A y = x + 10
B y = x + 6
C y = x + 10
D y = x + 6

2006-08-29 04:16:02 · 5 answers · asked by cammiechameleon1 1 in Science & Mathematics Physics

please say how u did it

2006-08-29 04:16:17 · update #1

it has to be one of above

2006-08-29 04:23:40 · update #2

5 answers

None of the ones you provided - note A is the same equation as C and B is the same equation as D.

The way to find out is to substitute the x and y values in the equation:
for A does 4 = -3 + 10 which is 7 - No
for B does 4 = -3 + 3 which is 0 - No

The equation is: y = m.x + c is the general form of this equation:

Substituting the two values for x and y we get:
(1) 4 = -3m + c
(2) 10 = 6m + c
Subtract (2) from (1) you get
6 = 9m so m = 2/3
Substituting in (2)
10 = 6. (2/3) + c
10 = 4 + c
So c = 10- 4 = 6

The correct equation therefore is:
y = 2x/3 + 6

2006-08-29 04:28:23 · answer #1 · answered by Chris C 2 · 0 0

none of the above...

y = mx + b ... if those two points are on the same line m = (y2-y1)/(x2-x1) ...

thus, m = (10-4)/(6-(-3)) = 6/9 = 2/3

so,

y = 2/3x + b and plugging in one of the points we get...

4 = 2/3(-3) + b ... thus, b = 6

so,

the true line would be....

y = (2/3)x + 6

2006-08-29 04:23:06 · answer #2 · answered by AresIV 4 · 0 0

Errrmmmm....... None of them?

Plug in the x and y values given for either point and they don't work.

Are you sure you have the right points and/or the right answer set?

And why are answers c and d identical to answers a and b?


Doug

Girl...... If it *has* to be one of the above, then we is *all* in deep sh*t ☺

2006-08-29 04:25:04 · answer #3 · answered by doug_donaghue 7 · 0 0

C and A And B And D are the same is this a trck question?

2006-08-29 04:24:12 · answer #4 · answered by bfa 2 · 0 0

none of the above.

2006-08-29 04:23:48 · answer #5 · answered by echiasso 3 · 0 0

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