Therefore, the correct answer is:
Determine the equation of the line shown in the graph: graph of a vertical line with an x intercept of 3
2 answers:
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= 1455
generate a few terms of the sequence using = 3n + 2
= ( 3 × 1) + 2 = 5
= (3 × 2) + 2 = 8
= (3 × 3 ) + 2 = 11
= (3 × 4 ) + 2 = 14
= ( 3 × 5 ) + 2 = 17
the terms are 5, 8, 11, 14, 17
these are the terms of an arithmetic sequence
sum to n terms is calculated using =
[ 2a + (n-1)d]
where a is the first term and d the common difference
d = 8 - 5 = 11 - 8 = 14 - 11 = 3 and = 5
=
[( 2 × 5) + (29 × 3) ]
= 15( 10 + 87) = 15 × 97 = 1455
Option is the point-slope form for the given point.
Step-by-step explanation:
Step 1:
As we have the slope, m and a coordinate we can use the point-slope form to find the equation.
m = and the coordinate is (6, 5) assume this to be (
).
The point-slope form is .
Step 2:
For the given point, and
and m =
.
Substituting these values in the equation, we get
becomes
.
This is the first option that is given.