Answer:
y = 5/3x + 13/3
Explanation:
slope intercept form is y = mx + b
to find the slope of a line using two points, you use the formula
m = (y2-y1)/(x2-x1)
(-2,1) (1,6)
(6 - 1)/(1 + 2)
5/3 is the slope
to solve for b, you take one of the points in the given and the slope (m) and solve for b
y = mx +b
y = 5/3x + b
6 = 5/3(1) + b
6 = 5/3 + b
18/3 = 5/3 + b
13/3 = b
now put the entire equation together
y = 5/3x + 13/3