Find an ordered triple to represent u in u=6w+2z if v=(4,-3,5), w=(2,6,-1), and z=(3,0,4).
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First, let's find the slope of the line using the slope formula, which is:
((,
) and (
,
) are points on the line)
In context of this problem, we can use the formula to find the slope of the line between the two points:
Now, we can use the slope in the point-slope formula, which will help us find the final equation of the line. (For reference, the point-slope formula is where (
,
) is a point on the line)
In the context of the problem, we could use the formula to find the equation of the line:
The equation of the line is y = -x + 5.