Slope intercept of (6,-2) and (12,1)

First, lets solve for the slope (y2-y1/x2-x1).

= 1 - (-2) / 12-6

= 3/6

= 1/2

Second, find the y-intercept of the line.

y = 1/2x + b

-2 = 1/2 (6) + b

-2 = 3 + b

-2 - 3 = 3 - 3 + b

-5 = b

Third, put this information into the final slope-intercept form equation (y = mx + b).

y = 1/2x - 5

Best of Luck!