Write an equation parallel to y=-3x-2 through the point (3, -5)

y = -3x + 4

Step-by-step explanation:

I graphed the equation and the point given on the graph below. The other line is the equation that is parallel.

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y = - 3x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x - 2 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus

y = - 3x + c ← is the partial equation

To find c substitute (3, - 5) into the partial equation

- 5 = - 9 + c ⇒ c = - 5 + 9 = 4

y = - 3x + 4  ← equation of parallel line

, 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