2.4: (5, 15, 19, 21, 23, 25, 27, 37)2.6: (27, 29)2.7: (31) 3.1: (35)3.2: (5, 11, 27)Section 2.3• Two points are given, find an equation of the line that passes through the given points. Simplify the equation by putting it in slope-intercept form• (-2,1) and (4,7)• (-1,7) and (2,-2)Section 2.4• Let I be the line with equation y=4-3x• Find an equation for the line parallel to I and passing through the point (2,0)• An equation of a line l and the coordinates of a point P are given.• Find an equation for the line that is parallel to l and passes through P.• Find an equation for the line that is perpendicular to I and passes through P.*4x-3y+1=0; (0,3)Section 2.6• A manufacturer of soft drinks advertises its orange soda as “naturally flavored”, although the soda contains only 5% orange juice. A new federal regulation stipulates that to be called “natural”, a drink must contain at least 10% fruit juice. The manufacturer has a 900-gallow vat of soda and decides to add pure orange just to the vat.• Construct a model that gives the fraction of the mixture that is pure orange juice.• How much pure orange juice must be added for the mixture to satisfy the 10% rule?Section 2.7• Kevin needs to buy a new car. He compares the cost of owning twocars he likes:A: An $18,000 gas-powered car that gets 30 mi/gallonB: A $25,000 hybrid-electric car that gets 48 mi/gallonAssume the price of gas is $4.50 per gallon• Find a linear equation that models the cost of purchasing Car A anddriving it x-miles.• Find a linear equation that models the cost of purchasing Car B anddriving it x-miles.• Find the break-even point for Kevin’s cost comparison. That is, find the number of miles he needs to drive so that the cost of owning Car A is the same as the cost of owning Car B.Section 3.1• Bacterial Infection; The bacteria Streptococcus pneuomoniae is the cause of many human diseases. The most common being pneumonia. A culture of these bacteria initially has 10 bacteria and increases at a rate of 26%.• Find the hourly growth factor a, and find an exponential model f(t)=Cat for the bacteria count in the sample, were t is measured in hours.• Use the model you found to predict the number of bacteria in the sample after 5 hours.Section 3.2• If $4,000 is invested at an interest rate of 1.6% per year compounded quarterly, find the value of the investment after the given number of years.• 4 years• 6 years• 8 yearsSection 3.31. Determine whether the model is linear or exponential and determine the model for the following data.XY020,000112,00027,20034,32042,592Section 3.4* Look at Questions 29-34 and the PQ examples from Friday. These involve a graph which is why they are not attached to this practice