For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible. 30. f (-5) = -4, and f (5) = 2 31. f(-1) = 4 and f (5) = 1 32. (2, 4) and (4, 10) 33. Passes through (1, 5) and (4, 11) 34. Passes through (-1, 4) and (5, 2) 35. Passes through (-2, 8) and (4, 6) 36. x intercept at (-2, O) and y intercept at (0, -3) 37. x intercept at (-5, 0) and y intercept at (0, 4)For the following exercises, write an equation for the lines graphed. 41. -5 -4 -3 2 -1 0 1 2 3 4 5 6 -5 -6 42. -1 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -4 43. -3 -2 -++x -10 3 44. -6 -5 -4 -3 -2 -1 0/ 1 2 3 4 5 6 1-1/ 46. 6 5 4 3 2 14 1 2 3 4 5 -XNumeric For the following exercises, which of the tables could represent a linear function? For each that could be linear, find a linear equation that models the data. 47. X 6 10 16 g (x) 6 -10 -26 -40Extensions 43. Find the value of X if a linear function goes through the following points and has the following slope: (x, 2). (-4,6), m = 3 24. Find the value of y if a linear function goes through the following points and has the following slope: (10, y), (25, 100), m = -5 65. Find the equation of the line that passes through the following points: (a, b) and (a, b + 1) 86. Find the equation of the line that passes through the following points: (2a, b) and (a, b + 1) 67. Find the equation of the line that passes through the following points: (a, 0) and (c, d)