Exam 3: Section 2: Linear Equations and Inequalities in Two Variables

Find the equation (in standard form) of the line through (2, 0) and (4, -1).

Write the equation of the line shown below.

Write an equation in slope-intercept form for a line l that goes through (12, -1) and has a slope of .

Write a formula that expresses the relationship described below. Use k as a constant of variation. P varies directly with T

Tim works at a bakery and can prepare a birthday cake in 4 hours. It takes him 5 hours to prepare a wedding cake. Tim works a 40-hour week and he must bake at least as many wedding cakes as birthday cakes. Draw a graph that illustrates the number of each type of cake Tim can bake per week.

Graph the line through (-1, 3) with slope -2.

The price of a 2-hour plumbing repair job is $130 and the price of a 5-hour job is $250. Write an equation for the cost C of a t-hour repair job and use the equation to find the cost of a repair job lasting 9 hours.

A playground equipment manufacturer plans to spend $300,000 on a new facility plus $140 for each swing set made.The formula C = 140n + 300,000 gives the cost in dollars to manufacture n swing sets. What is the marginal cost of the nth swing set? [Hint - the marginal cost of the nth swing set is the difference in cost of producing n + 1 swing sets and n swing sets).

Write a formula that expresses the relationship described below. P varies jointly as x and y and P = -8 when x = -2 and y = 7

Write the equation in standard form using only integers and a positive coefficient for x.

Does the point (-4, -1) satisfy the inequality y  6x - 5?

Graph the point .

Gotham City's budget deficit was $4.5 million in 1991 and $4.6 million in 2000. Find the slope of the line through (1991, 4.5) and (2000, 4.6) and interpret your result.

The time to drive from Gotham City to Farmville varies inversely with the average speed. If the drive takes 5.0 hours at 49 mph, then how long will it take at 70 mph? Round to the nearest tenth of an hour.

Determine the slope of the line graphed below. Show your work.

Graph the solution set of the linear inequality ?

Graph the equation y = -3x + 1.

Line l goes through (1, 3) and is parallel to the line through (4, 3) and (-3, 1). Find the slope of l.

The lines are perpendicular. Find the equation (in slope-intercept form) for the solid line.

Graph the linear equation .