Question 313158
Since you are only given 2 points you must start by finding the slope:

{{{m = (y[2]-y[1])/(x[2]-x[1])}}}

{{{m = (-3--2)/(-5--1)}}}

{{{m = -1/-4 = 1/4}}}

Now we have the slope and at least one point so we can use the point slope formula:

------------>{{{y-y[1] = m(x-x[1])}}}

Substitute:->{{{y--2 = (1/4)(x--1)}}}

simplify:--->{{{y+2 = (1/4)(x+1)}}}

distribute:->{{{y + 2 = (1/4)x+ (1/4)}}}

subtract 2:->{{{y = (1/4)x-1.75}}}  answer