Please help me with these questions.

[Maximum mark: 6] The equation of a line L1 is 3x = 12 - y. (a) For the line L1, find: the x-intercept; (ii) the gradient. A second line, L2, intersects the x-axis at P(2, 0) and is parallel to L1. (b) Find the equation of L2, giving your answer in the form y = mx + c. (c) Calculate the y-intercept of L2.[Maximum mark: 6] The diagram below shows a straight line L1 which passes through A(0, -2) and B(8, 0). 5' (a) Write down the coordinates of the midpoint of line segment [AB]. Another line, L2, intersects the y-axis at C(0, 3) and is parallel to L1. (b) Find the gradient of L2. (c Find the equation of L2, giving your answer in the form y = ma + c.[Maximum mark: 6 The equation of a line L1 is y:= 0.5x + p. The point A(2, -1) lies on L1- (a) Find the value of p. A second line, L2, is perpendicular to L1 and intersects L1 at point A. (b) Find the gradient of L2- (c) Find the equation of L2. Give your answer in the form y = ma + c. (d) Write your answer to part (c) in the form ar + by + d = 0, where a, b, de Z.[Maximum mark: 6] The straight line, L1, has the equation y = (a) Write down the y-intercept of L1. E (b) Write down the gradient of L1- The line L2 is perpendicular to Li and passes through the point A(2, 4). (c) Find the gradient of L2. d) Find the equation of L2, giving your answer in the form ar + by + d = 0, where a, b, d E Z.2021 Q.5 [Maximum mark: 6] The equation of a line L1 is y - 3x + 5 = 0. For the line L1, find : the x-intercept; i) the gradient. A second line, L2, intersects the y-axis at P(0, 2) and is parallel to L1. (b) Find the equation of L2. Give your answer in the form y = ma + c. E A third line, L3; passes through the point Q(3, 1) and is perpendicular to L1. (c) Find the gradient of the line L3- E Find the equation of L3, giving your answer in the form ar + by + d = 0, where a, b, de Z.[Maximum mark: 6] The diagram shows the straight line L1, which intersects the x-axis at A(-8, 0) and the y-axis at B(0, 4). m 5' (a) Write down the coordinates of M, the midpoint of line segment [AB]. (b) Calculate the gradient of L1. The line L2 is perpendicular to L1 and passes through the point P(1, 2). (c) Find the equation of L2. Give your answer in the form y = ma + c