Test review.

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Presentation transcript:

Test review

Writing equations Write the equation of the line that goes through the point (-1, 4) and (2, 0)

Writing equations Write the equation parallel to the line y= ½x-1 that goes through the point (2, -7)

Writing equations Write the equation of the line perpendicular to the line shown.

Summary Writing equations of lines Parallel= same slope Calculate slope Plug in point to find y-int “b” Parallel= same slope Perpendicular= opposite reciprocal slope

Applications 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.

applications 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?

applications 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.

Applications 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?

applications 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?

summary Equations in slope intercept form Equations in standard form Find two data points  calculate slope, y-int One time “fee” = b, slope/ rate of change Equations in standard form Two comparative quantities Ax + by = c, where c is a sum or total

Linear regression 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 3 4 6 5 7

Linear regression Know difference between interpolation and extrapolation Use equation of best fit to interpolate and/or extrapolate

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