We need an equation in the form y = mx + b, where m is the slope and b is the y-coordinate of the y-intercept.First, to find the slope, m, we use the formula m = (y2 - y1) / (x2 - x2):m = (-3 - 5) / (5 - 0) = -8/5Now we need to find the y-intercept, b, and can do so by using either of the given points. I will use the first ordered pair, (0,5) letting x = 0 and y = 5, and also use the slope, m = -8/5 to solve for b:y = mx + b5 = (-8/5)(0) + b5 = 0 + b5 = bTherefore, our equation of a line in slope-intercept form, which passes through the points (0,5) and (5-3) is:y = (-8/5)x + 5.