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Comment on Intersection of Lines A and B
thas cool..
How would this approach
Parallel will never intersect
Parallel will never intersect.
So, the question would be unanswerable of the two lines were parallel.
Hello,
I thought of an insight to answer this question without really doing any work.
Line A's formula gives us one definite point(y-intercept), but doesn't tell us the slope.
Line B's formula tells us the slope but doesn't give us a point.
Statement 1 tells us another point, so since we have two points for line A, it is fully constrained (we can plot it). We can tell that it is insufficient because we can imagine line B as a line with an arbitrary constant slope that isn't constrained in terms of vertical displacement (we can visualize a line that is able to slide up and down)
And statement 2 gives us this the same y-intercept given in the question.
Perfect logic for statement 1
Perfect logic for statement 1!
Nice work!
Cheers,
Brent
Thank you. Out of curiosity,
You're correct to say the
You're correct to say the equation of line B is y = (-3/2)x + 7, but the equation of line A is different.
Line A: jx - y = -7
The point (3,1) lies on the line. So, we can plug in those values to get:
j(3) - 1 = -7
Add 1 to both sides: 3j = -6
Solve: j = -2
So, the equation of line A is: -2x - y = -7
Solve for y to get: y = -2x + 7
Cheers,
Brent
Thank you! I see it now. I
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