Explain how you can use slope-intercept form to write an equation of a line given its slope and y-intercept Substitute the slope for
and the y-intercept for
in the slope-intercept form

Step-by-step explanation:

example

we are given: slope = 5, y-intercept = 9

y=mx+b

we just plug it in

y=5x+9

x = 23.78

step-by-step explanation:

, 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