The equation of a line in function or intercept form is y=mx+b, where m is the slope of the line and b is where the line crosses (or intercepts) the y-axis.
To find the slope between two points (x1,y1) and (x2,y2) you compute (y2-y1)/(x2-x1), which is change in y over change in x (or rise/run)/.
For our problem (x1,y1) = (-2,-3) and (x2,y2) = (-3,1) and the slope is [1 - (-3)[ /[ -3 - (-2)] = -4
So we can fill in -4 for m in the equation of the line: y = -4x + b.
To solve for b, we can plug in one of the points on the line, say (-3,1) for x and y:
1 = -4 * -3 + b --> b = -11, so the equation of the line is y = -4x - 11
