Question

A data set consists of the following data points:

Answer 1

(3,5),
(5,8),
(6,13)
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(14,26)/3
 
then use the point slope form of a line to find equation of line

$y-y_1=m(x-x_1) \\y - \frac{26}{3} = 2.5(x- \frac{14}{3}) \\y - \frac{26}{3} = \frac{5}{2} (x- \frac{14}{3}) \\y - \frac{26}{3} = \frac{5}{2} x- \frac{5}{2}\times\frac{14}{3} \\y - \frac{26}{3} = \frac{5}{2} x- \frac{35}{3} \\6y-52=15x-70 \\15x-6y-18=0$

Find y-intercept for x = 0.

$15x-6y-18=0 \\15\times0-6y-18=0 \\-6y=18 \\y=-3$