Find an equation for the line that passes througth the points(-3,3) and (5,5)

Answer 1

A line is defined by a point and a slope. We are given two points, but no slope. Luckily, we can find the slope given the two points. If we call the slope m, then m is given by difference in y coordinates divided by the difference in x coordinates. Thus we compute m = (5 - 3)/(5 - (-3)) = 2/(8) = 1/4. Now that we have the slope, we can simply pick either point and write the equation in point-slope form. For instance, we may express this line as y-5 = (1/4)(x - 5).