In order to find the equation of the line that crosses trough the given points, cionsider that the general form of a linear equation is:
y = mx + b
or
y - yo = m(x - xo)
where m is the slope of the line, b the y-intercept and (xo,yo) is a point of the line.
In order to calculate the slope of the line, use the following formula:
m = (y2 - y1)/(x2 - x1)
where, for this case, (x1,y1) = (1,-5) and (x2,y2) = (3,3). Replace these values into the formula for m:
m = (3 - (-5))/(3 - 1)
m = 8/2
m = 4
next, replace the value of m and the point (xo,yo) = (3,3) and solve for y:
y - 3 = 4(x - 3)
y - 3 = 4x - 12
y = 4x - 12 + 3
y = 4x - 9
Hence, the equation of the line is
y = 4x - 9