Q: Write an equation of the form M(V) = _________ * log(P) + ___________ which is consistent with the data in the graph. Looking at the line drawn on the diagram, I can pick out the endpoints (0.6, -3.0) and (2.0, -6.5) The slope of the line connecting them is approximately (-6.5 - (-3.0) ) -3.5 slope = ---------------- = ------- = -2.5 ( 2.0 - 0.6 ) 1.4 If we plug into the equation -3.0 = (-2.5 * 0.6) + X and solve for "X", we can find the y-intercept. It turns out X = -1.5 So the relationship between period and absolute magnitude is approximately M(V) = -2.5 * log(P) - 1.5