I need to solve everything step by step

1 Find the equation of the line that contains point (3,3) and perpendicular to the line -5xx + yy - 8 =0 Give answer in slope intercept form with factions in lowest terms 2 In a certain city, the cost of a taxi ride is computed as follows: There is a fixed charge of $2.25 as soon as you get in the taxi, to which a charge of $2.45 per mile is added. Find a linear equation that can be used to determine the cost, C, of an x-mile taxi ride. Give answer in slope-intercept form 3 After two years on the job, an engineer's salary was $60,000. After seven years on the job, her salary was $76,000. Let y represent her salary after x years on the job. Assuming that the change in her salary over time can be approximated by a straight line, give an equation for this line in the form y = mx + b. 4 Find all points at which the tangent line to the graph of y = x3 is parallel to the line y = 27x + 5. Enter your answer in the form: (a b), (c, d) where a > c 5 If (x,y) is a point on the parabola y = 3x2, then the tangent line to y = 3x2 passing through (x,y) has slope 6x. Find the equation of the line tangent to y = 3x2 through the point (-2, 12). Give answer in slope form 6 Find the derivative of f(x) = x5/2 7 Find the derivative of f(x) = 2~x atx =4