Straight lines Questions and Answers

ine pis perpendicular to line q Drag and drop the correct answers to the boxes below to complete the sentence If the equation of line p is 2x 5y 10 then the equation of line q must be x 2y 12 because perpendicular lines have slopes with a product of

15 O a 2b a 2b a 2b N Given The coordinates of rhombus WXYZ are W 0 4b X 2a 0 Y 0 4b and Z 2a 0 Prove The segments joining the midpoints of a rhombus form a rectangle As part of the proof find the midpoint of YZ a 2h W Y X

Every month Midtown Grocery Store donates 8 ounce cans of vegetables to a food bank The food bank s volunteers fill bags with these cans and deliver the bags to families in need This graph shows the relationship between the number of bags the food bank s volunteers can fill x and the total number of cans they deliver y 20 Cans 18 16 14 12 10 8 9 4 2 2 5 Bags Do x and y have a proportional relationship yes no 3 6 7 8 9 10 What is the constant of proportionality Write your answer as a whole number or decimal

3 P 1 according to the partial construction shown what is the next step in constructing a line perpendicular to a point off a lin Owith compass at P draw an arc above a O With compass at P draw an arc below a Owith compass at P draw an arc that intersects a in one place With compass at P draw an arc that intersects a in two places

The graph shows a relationship between the average number of hours 15 ninth graders spend studying per week and their grade point average Grade Point Average 4 0 3 0 2 0 1 00 0 10 2 4 6 Hours Spent Studying per Week Which equation best models this data set O 10 y 0 281 1 2 O y 1 22 0 28 y 0 28 1 2 y 1 2 0 28 8 x

What do you get when you cross a bunny and some cheese Find the slope between the following set of points The answer to each problem will match a letter that will allow you to figure out the joke 1 4 7 and 6 11 2 2 4 and 3 2 3 5 8 and 2 4 4 6 5 and 0 5 5 3 12 and 8 7 6 7 0 and 1 4 7 9 3 and 9 7 8 2 15 and 20 3 9 1 1 and 15 4 10 34 12 and 56 23 3 o 5 9 10 9 1 10 9 9 H 5 11 S T 4 1 4 A 0 V 11 2 O 5 R L 2 1 2 1 6 B T Undefined N 23 E 3 16 4 3 7 4

4n 176 0 19 4n 4n START 26 Find mzC E 136 136 Find the value of b 76 64 62 440 19 Tind the value of x 16 3x 4y 1 16 4 y 60 3x 12 3 3 4 6 7 Find the value of p 2p 49 3x 4 5K 124 28 Find the value of h 130 56 59 4 9 50 116 2h find the value of g g 7 15 h 8 177 10 6 65 9 8 g 7 22 Find the value of y 25 3x 6 2 Find the value of f 72 f 30 er 5 89 3 find the value of k 18 3 6k k 10 51 9 Find mzC 119 x 187 479 61 194 119 119 669 TO FINISH 28F 611 x OMISSCRAFTYMATHIEACE

Consider the figure where line segment MN is parallel to line segment PQ M P 1 4 2 3 5 N Q Which statement must be true Since m 1 m 2 m 3 180 m 1 m 4 and m 3 180 m 1 m 4 and m 3 m25 we can prove tha m 4 m 2 m 5 180 Since m 1 m 2 m 3 180 m 1 m 5 and m 3 m 4 we can prove that m 5 m 2 m 4 180 Since m 1 m 2 m 3 360 m 1 m 4 and m 3 m 5 we can prove that m 4 m 2 m 5 360 Since m 1 m 2 m 3 360 m 1 m 5 and m 3 m 4 we can prove that m 5 m 2 m 4 360

Use the graph to write an equation of the line Interpret the slope Tree height feet The height increases feet each year The height Increases 1 foot every 1 5 years Tree Growth 2 Age years 4 X The height increases 1 5 feet each y The height Increases 3 feet every 24 05

Part A The number of cubic feet of water y in a pool hours after the water starts flowing into the pool is a linear function The points 40 3000 and 60 4000 lie the line of the function Calculate the slope of the line Part B What does the slope of the line represent in Part A Explain in your own words and use complete sentences Part C Explain how the slope formula is related to the definition of slope Use complete sentences

Challenge Find the value of x for which r s Then find m 1 and m22 m 1 70 2x m 2 81 3x The value of x for which r s is The figure is not to scale

Alan buys cheese from the local farmer s market The graph below shows the cheese cost in cents versus its weight in ounces Use the graph to answer the questions Cost cents 280 245 210 175 140 105 70 35 0 Weight ounces a What is the slope of the line 0 Y 8 08 X

29 Determine if the graph represents a polynomial function If it is a polynomial function then determine the number of turning points and the least degree possible This is not a polynomial Lines are not polynomials There are no turning points This graph is not a polynomial This is a piecewise defined function that is constructed with two lines rays Where the lines are connected there is a CUSP point polynomials are represented by graphs with smooth curves Yes this graph represents a polynomial This is a piecewise defined function that is constructed with two lines rays There is only one turning point as each line is a polynomial of degree one

Tiffany started a doggie daycare where she offered a variety of services including grooming She charges an hourly rate of 9 and a fee for each service Fluffy s human paid 58 for her 3 hour stay Complete the function for a visit of x hours which includes grooming Express the function in slope intercept form G x

Tristan is studying the relationship between reaction time in seconds to the score achieved in a computer game Reaction time s X 0 210 0 230 0 245 0 199 0 211 0 231 0 278 0 291 0 222 Score y 1987 1898 1776 1990 2001 1811 1652 1432 1999 What is the gradient for the line of best fit Give your answer rounded to the nearest

Brianna s math teacher plots student grades on their weekly quizzes against the number of hours they say they study on the pair of coordinate axes and then draws the line of best fit What does the line s y intercept represent