The points (−2,7) and (4,−5) lie on a straight line.
(i) Calculate the slope of the line.
(ii) Using the point (−2,7), write the equation of the line in point–slope form.
(iii) Transform the equation obtained in part (ii) to slope–intercept form and simplify.
(iv) Verify that the point (4,−5) satisfies the equation found in part (iii).