Convert y = -2x +5 to point slope form

Converting y = -2x +5 to point-slope form will be:

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

y = mx+b

where

Given the equation

comparing with the  slope-intercept form

Slope of the line = m = -2

The y-intercept b = 5

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

Thus, the ordered pair or point representing the y-intercept will be:

Now, we have

Now, using the point-slope form of the line equation

where

substituting the values m = -2 and the point (x₁, y₁) = (0, 5)

Therefore, converting y = -2x +5 to point-slope form will be:

, 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