The formula for slope is y = mx + b
y is the y value, m is the slope, x is the x value, and b is the y intercept.
The equation given for line e is

Therefore the slope of line e is -9/2
Line f is parallel and parallel lines have the same slope.
So the slope is line f is -9/2.
The picture isn't that clear and I can't really tell if it's-9/2 or 9/2.
But whatever it is, the slope of line f is the same as the slope of line e because they are parallel.
Good luck!
The 30th term of the given sequence is 82.
<u>Step-by-step explanation</u>:
- The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on.
- The given linear sequence (-5,-2,1,4,7) is in the form of Arithmetic Progression with a common difference of 3.
- -5, -5+3 = -2, -2+3 = 1, 1+3 = 4 and so on.
The nth term is given by the formula nth term = a + (n - 1) d
where
a = first term
d = common difference
<u>To find the 30th term in the given sequence :</u>
The first term, a = -5 and the common difference, d = 3.
30th term = -5 + (30-1) 3
⇒ -5 + (29) 3
⇒ -5 + 87
⇒ 82
Therefore, the 30th term in the given sequence is 82.
Okay that's what I got hope it's right
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Answer:
20, -20
Step-by-step explanation:
I assume you mean |x| + 31 = 51?
that means |x| + 31 - 31 = 51 - 31
==> |x| = 20
because this is absolute value
so x = 20 or -20