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Write the equation of the line that goes through the point (-1, 4) and (2, 0) Write the equation parallel to the line y= ½x-1 that goes through the point (2, -7) Write the equation of the line perpendicular to the line shown. Writing equations of lines Calculate slope Plug in point to find y-int “b” Parallel= same slope Perpendicular= opposite reciprocal slope Bananas cost $0.70 each, and peaches cost $0.90 each. If you want to spend exactly $21.20 at the stand and you need to buy 11 bananas, how many peaches can you buy? Let b represent the number of bananas, and p represent the number of peaches. Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level, L, after d days. In how many days will the water level be 26 feet? In order to join a movie rental service, there is an initial $60 fee, then a $5 fee every month. Write an equation in slope-intercept form modeling this situation, then use it to find out how much you will have paid after 10 months of this service. A caterer charges $120 to cater a party for 15 people and $200 for 25 people. Assume that the cost, y, is a linear function of the number of x people. Write an equation in slope-intercept form for this function. What does the slope represent? How much would a party for 40 people cost? The Ramey family bought 4 sandwiches and 3 salads. They spent $24. Let x be the cost of a sandwich and y be the cost of a salad. If each sandwich cost $3.75, how much did each salad cost? Equations Find two data points calculate slope, y-int One time “fee” = b, slope/ rate of change Equations in slope intercept form in standard form Two comparative quantities Ax + by = c, where c is a sum or total Construct a scatter plot with line of best fit for the following data. Find the equation of the line of best fit. X Y 1 2 2 2 2 3 3 4 4 3 4 6 5 4 5 5 6 7 Know difference between interpolation and extrapolation Use equation of best fit to interpolate and/or extrapolate