Slopes and linear equations

Find an equation in slope-intercept form for the line. Through (4,2) and (2,3) 2 Find an equation for the line. Through (4,3) and (4,7) Find an equation of the line in the form ax + by = c whose x-intercept is - 24 and y-intercept is - 6, where a, b, and c are integers with no factor common to all three, W and a 2 0. Find an equation of the vertical line through (3,3) in the form ax + by = c, where a, b, and c are integers with no factor common to all three, and a 2 0. Find an equation for the line in the form ax + by = c, where a, b, and c are integers with no factor common to all three and a 2 0. Through (9. - 9). perpendicular to x + y = 7 G Let f(x) = 9- 4x. Find f(3). 7 Let f(x) = 8 - 3x. Find f( - 5). Y Let g(x) = 4x - 1. Find g(1.5). Let f(x) = 2 - 5x. Find f(t). 10 Write a linear cost function for the following situation. Identify all variables used. A ski resort charges a snowboard rental fee of $20 plus $7.50 per hour. [)Write a linear cost function for the situation. Identify all variables used. A parking garage charges 5 dollars plus 25 cents per half-hour. 12 Assume that the situation can be expressed as a linear cost function. Find the cost function. Fixed cost is $300; 40 items cost $1100 to produce. 13 Let one week's supply and demand functions for gasoline be given by p = D(q) = 280 - 5q and p = S(q) = 59 . where p is the price in dollars and q is the number of 42-gallon barrels. (a) Graph these equations on the same axes. (b) Find the equilibrium quantity. (c) Find the equilibrium price. A person is the manager of a firm. He is considering manufacturing a new product, so he asks the accounting department for cost estimates and the sales department for sales estimates. After he receives the data, he must decide whether to go ahead with production of the new product. Analyze the following data (find a break-even quantity) and then decide what the manager would do in this case. Also, write the profit function. C(x) = 105x + 450 and R(x) = 90x 15 1 30 16 of rice and 30 1b of potatoes cost $25.80, and 20 lb of rice and 12 1b of potatoes cost $13.52, how much will 10 1b of rice and 50 1b of potatoes cost? Let x be the cost of 1 lb of rice and y be the cost of 1 lb of potatoes. Set up two linear equations from the given information using x and y as the variables = 25.80 = 13.52 A player scored 107 points in a single professional basketball game. He made a total of 68 baskets, consisting of field goals (worth two points) and foul shots (worth one point). Find the number of field goals and the number of foul shots that the player made