Question

A data set consists of the following data points:

(3,5), (5,8), (6,13)

The slope of the best fit line is 2.5. Find the y-intercept of this line.

Answer 1

4.5

Explanation:

AP3X

Answer 2

(3,5),
(5,8),
(6,13)
------
(14,26)/3

then use the point slope form of a line to find equation of line


`y-y_1=m(x-x_1) \\y - (26)/(3) = 2.5(x- (14)/(3)) \\y - (26)/(3) = (5)/(2) (x- (14)/(3)) \\y - (26)/(3) = (5)/(2) x- (5)/(2)*(14)/(3) \\y - (26)/(3) = (5)/(2) x- (35)/(3) \\6y-52=15x-70 \\15x-6y-18=0`

Find y-intercept for x = 0.


`15x-6y-18=0 \\15*0-6y-18=0 \\-6y=18 \\y=-3`