The slope of the line below is-1/7write a point-slope equation of the line using the coordinates of the labeled point.

The point slope formula is

y-y1=m(x-x1)

M represents slope and (y1, x1) are the coordinates to your point.

From this question we know the slope is -1/7 so you plug that in to the formula which will give you

Y-y1=-1/7(x-x1)

There isn’t a point attached to this question so let’s make up a point and say it’s (1,7). You plug this into the equation to get

Y-7=-1/7(x-1)

This is your equation.

, 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