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).