Question

A data set consists of the following data points: (2, 4), (4, 7), (5, 12) The slope of the best-fit line is 2.5. Find the y-intercept of this line.

A. -1.5
B. -2
C. -2.5
D. -1

Answer 1

The answer will be -1

Answer 2

D. -1

Explanation:

We have been given a set of data points and the slope of the line of best fit as 2.5.

The equation of the line of best fit, in slope-intercept form, can be thus written as;

y = 2.5x + c

where c is the y-intercept of this line.

We can then use any of the points given to determine c. Using the point

( 2, 4);

4 = 2.5(2) + c

4 = 5 +c

c = 4-5 = -1