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:
[tex]m = \frac{y_2- y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (2,8,50)[/tex]
[tex](x_2,y_2) = (12,31.00)[/tex]
[tex]m = \frac{31.00 - 8.50}{12 - 2}[/tex]
[tex]m = \frac{22.5}{10}[/tex]
[tex]m = 2.25[/tex]
Next, we calculate the equation:
[tex]y - y_1 = m(x - x_1)[/tex]
Where:
[tex](x_1,y_1) = (2,8,50)[/tex]
[tex]m = 2.25[/tex]
The equation becomes:
[tex]y - 8.50 = 2.25(x - 2)[/tex]
[tex]y - 8.50 = 2.25x -4.5[/tex]
Make y the subject
[tex]y = 2.25x -4.5+8.50[/tex]
[tex]y = 2.25x +4[/tex]
Take [tex]x =0[/tex]; to get the y intercept
[tex]y = 2.25*0 +4[/tex]
[tex]y = 4[/tex]
Hence, the y intercept is 4.00
