What is the y-intercept of (5,8) and (12,36)

(0, -12)

Step-by-step explanation:

In order to find the y-intercept of the equation y = mx + b ( where m is the slope and b is the y-intercept), we first have to find the slope. We can do this by using the two points given to us.

To find the slope:

The slope is equal to:

Let's plug (5,8) and (12,36) into the equation:

Now let's solve for the slope:

36 -8 = 28

12 - 5 = 7

So we get:

Now that we've found the value of the slope, we can put it into the equation:

y = x + b

To find the value of b, we can input the values of one of the given points into the equation and solve for b. Let's use (5,8):

Input the values of x and y into the equation:  8 = (5) + b

Multiple by 5:  8 = + b

Divide 140 by 7:  8 = 20 + b

Subtract 20 from both sides of the equation to isolate b:  

8 - 20 = 20 - 20 + b

-12 = b

The y-intercept is (0, -12).

given hc ∥ gd.¯¯¯¯¯¯which statement is true

step-by-step explanation:

∠cbe and ∠deb are same-side interior angles

, 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