Find the equation of the line.
Use exact numbers.

y=2x+4

Step-by-step explanation:

From the graph, we already know what the y-intercept is. The line crosses the y-axis at (0,4). Therefore, 4 is our y-intercept.

For the slope, we can take any 2 points on the graph and then use the formula to find slope. Let's use (1,6) and (2,8).

Now that we know the slope, we can fill in our slope-intercept equation.

y=2x+4

both equations and proportions are better.

, 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