Perpendicular Line Formula. Linear lines are almost always displayed in the form of . y = mx + b . Where m is the slope and b is the y intercept. The first step in finding the equation of a line perpendicular to another is understanding the relationship of their slopes. The polynomial interpolations generated by the power series method, the Lagrange and Newton interpolations are exactly the same, , confirming the uniqueness of the polynomial interpolation, as plotted in the top panel below, together with the original function . We see that they indeed pass through all node points at , , and . Algebra: Polynomials, rational expressions and equationsSection. Click here to see ALL problems on Polynomials-and-rational-expressions. Question 1050811: Find a polynomial function with the zeros -6,0,3,2 whose graph passes through the point (1/2, 585) Answer by Zucchini(70) (Show...Let's add more constraint for the curve to go through (0.5,1) and (1.5,-1). Also, we want the derivatives at those points to be zero. That's additional 4 constraints. With so many constraints, we won't be able to satisfy them with a 3rd order polynomial. Let's try a 7th order. This online calculator can find and plot the equation of a straight line passing through the two points. The calculator will generate a step-by-step explanation on how to obtain the result.