Please answer carefully

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D. Intersecting, but not perpendicular lines.

4x + 2y = 10

4x - 2y = -10

To make the question easier, rewrite each line in the form y = mx + b:

4x + 2y = 10

2y = -4x + 10

y = -2x + 5

4x - 2y = -10

-2y = -4x - 10

y = 2x + 5

Looking at the answer choices:

The equations are NOT the same line because one of the slopes is negative.

The equations are NOT parallel lines because one of the slopes is negative.

The equations are NOT perpendicular because -2 is not the opposite reciprocal of 2.

The equations ARE intersecting, but not perpendicular lines.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for