Can somebody help me solve this please?

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) Find the equation of the straight line that passes through the points (-1, 4) and (1, -6). (b) A straight line has equation y = 4x + 6. (i) Write down the coordinates of a point that lies on the line. (ii) Find the x-intercept of the line. (iii) Is the line from part (a) parallel to the line y = 4x + 6? Explain your answer. (c) Find the coordinates of the point where the lines with the following equations intersect: 4x + 5y = -13, 8x - 2y = 10. (d) A parabola has equation y = c' + 4x - 13. (i) Find the y-intercept of the parabola. (ii) Does the point (2, 1) lie on the parabola? Justify your answer. (iii) By substituting r = 4 into the equation of the parabola, find the coordinates of the point where the line x = 4 meets the parabola. (iv) Find the coordinates of the points where the line y = 8 meets the parabola