start with y= m(x+9)
Use the distributive property:
y= mx+9m
Now you want x to decrease by 6:
so y ' = m(x-6) + 9m
Use distributive property again:
y'= mx - 6m + 9m
y' = (mx+9m) - 6m
y' = y - 6m
So the value of y decreases by 6m.
Base or base number
for example 2^3 = 2 * 2 * 2 or x^2 = x * x
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RS is perpendicular to MN and PQ.
We can use the slopes of these lines to determine the answer.
Slope is given by the formula
m=.
Using the coordinates for M and N, we have:
m=.
Since PQ is parallel to MN, its slope will be as well, since parallel lines have the same slope.
Using the coordinates for points T and V in the slope formula, we have
m=.
This is not parallel to MN or PQ, since the slopes are not the same.
We can also say that it is not perpendicular to these lines; perpendicular lines have slopes that are negative reciprocals (they are opposite signs and are flipped). This is not true of TV either.
Using the coordinates for R and S in the slope formula, we have
m=. Comparing this to the slope of RS, it is flipped and the sign is opposite; they are negative reciprocals, so they are perpendicular.
Answer:
5/the number of socks he has
