Throughout this question, you should use algebra to work out your answers. You may use a graph to check that your answers are correct, but it is not sufficient to read your results from a graph. (a) A straight line passes through the points and (-6, 2). (i) Calculate the gradient of the line. (ii) Find the equation of the line. (iii) Find the r-intercept of the line. (b) Does the point (3, -1) lie on the line that you found in part (a)? Explain your answer. (c) Find the coordinates of the point where the lines with the following equations intersect: 1 67 + -y = 1 4 1 -3.r Gy = 7