Answer:
4.00
Step-by-step explanation:
Given
x: 2 , 5 , 8 , 12
y: 8.50, 15.25, 22.00. 31.00
Required
Determine the y intercept
First, we calculate the slope:

Where





Next, we calculate the equation:

Where:

The equation becomes:


Make y the subject


Take
; to get the y intercept


<em>Hence, the y intercept is 4.00</em>
Most likely divide it by 4
Answer: y=0 and x=3
Step 1: Solve for x in 2x+9y=6.

(Subtract 9y from both sides)
( Divide both sides by 2)
Step 2: Replace x with 3-4.5y

Step 3: Solve for y
(By looking at this, we can determine that y=0)
Step 4: Replace y with 0

(Divide both sides 2)
Therefore, y=0 and x=3
1st find the slope m.
m= (rise)/(run). Look up the graph and notice that the rise is 1 for a run =5
Then the slope will be 1/5
2 lines are parallel if they have the same slope so it's either
y= 1/5 x + 4 or 1/5 x + 12/5
our function is y = mx + b, but we know that m = 1/5
so the equation is y = 1/5 x + b
and we know that the function passes through the point (-2,2)
To calculate b, plug in y= 1/5 x + b , x & y by their respective values:
2 = (1/5) (- 2) + b
2 = - 2/5 + b and b = 12/5, then the equation is Y= 1/5 X + 12/5