3 Write an equation in point-slope form of the line through the given point and with the given slope. (2, 5); m = 0
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1 Name: ate: 1 Write an equation in slope-intercept form of the line. y = x 3 y = 3 y = 3x + 1 y = x Write an equation in slope-intercept form of the line. y = 7x y = 2x + 7 y = 2x 7 y = 7x Write an equation in point-slope form of the line through the given point and with the given slope. (2, 5); m = 0 y + 5 = x 2 y 5 = 0 x = 2 y + 5 = 0 opyright by Pearson Education Page 1 of 15
2 4 Write an equation in point-slope form of the line through the point ( 1, 2) and with slope m = 2. y 2 = 2(x 1) y + 2 = 2(x 1) y + 2 = 2(x + 1) y 2 = 2(x + 1) 5 Write y = x + 8 in standard form using integers. 4x 5y = 40 4x + 5y = 40 4x + 5y = 8 5x 4y = 40 6 Write y = 0.3x in standard form using integers. 3x 10y = 6 3x + 10y = 6 3x + 10y = 6 3x 10y = 6 opyright by Pearson Education Page 2 of 15
3 7 Graph the equation. opyright by Pearson Education Page 3 of 15
4 8 Graph the equation. opyright by Pearson Education Page 4 of 15
5 9 Graph the equation. opyright by Pearson Education Page 5 of 15
6 10 Graph the equation. 2x 5y = etermine whether the equation represents a direct variation. If it does, find the constant of variation. yes, k = yes; k = yes; k = no opyright by Pearson Education Page 6 of 15
7 12 etermine whether the equation represents a direct variation. If it does, find the constant of variation. yes; k = yes; k = 2 yes; k = no 13 Graph y = x + 3. opyright by Pearson Education Page 7 of 15
8 14 Graph y = x job at a retail store pays $80 per week plus 20% commission on total weekly sales. Write an equation for the total weekly pay p for total weekly sales s. p = 0.2s + 80 p = 80s s = 0.2p + 80 s = 80p opyright by Pearson Education Page 8 of 15
9 16 job at a retail store pays $80 per week plus 20% commission on total weekly sales. Use p as the vertical axis and s as the horizontal axis. Graph the equation described by the situation. opyright by Pearson Education Page 9 of 15
10 17 job at a retail store pays $80 per week plus 20% commission on total weekly sales. What is the p-intercept? What does it mean? 0.25; pay for one sale 80; weekly pay if no sales are made 80; weekly pay if only one sale is made 80; weekly pay if an average number of sales are made opyright by Pearson Education Page 10 of 15
11 18 This table shows the average consumption of broccoli in the United States in pounds per person from 1970 to Year onsumption (lb/per person) ? Make a scatter plot and trend line of the data. Use the equation of the trend line to predict how much broccoli the average person will eat in about 8.7 lb/person about 8.1 lb/person y = 0.21x about 7.6 lb/person y = 0.12x y = 0.16x opyright by Pearson Education Page 11 of 15
12 19 Write an equation of the line that is parallel to the given line and that passes through the given point. 3x + 2y = 5; (2, 6) 20 Write an equation of the line that is perpendicular to the given line and that passes through the given point. y = 4x + 2; ( 4, 3) opyright by Pearson Education Page 12 of 15
13 21 Use the table. Make a scatter plot relating the distance of various cities from the metro area to the population of the cities. istance and Population ity ity ity ity ity ity E istance From Metro rea (mi) Population (thousands) opyright by Pearson Education Page 13 of 15
14 22 Which equation has a graph that is perpendicular to the graph of x + 6y = 12? x + 6y = 67 x 6y = 52 6x + y = 52 6x y = What do all direct variation graphs have in common? hoose the best answer. ll direct variation graphs are linear and they all go through the origin. ll direct variation graphs are linear with positive slopes and they all go through the origin. ll direct variation graphs are linear and they occur in the first quadrant. ll direct variation graphs are linear with positive slopes and they occur in the first quadrant. 24 What does it mean when a line of best fit has a correlation coefficient close to 0? The data has a strong positive correlation. The data has a strong negative correlation. The data has a weak positive or negative correlation. The data has no correlation. 25 How many lines can you draw that are perpendicular to and share at least one point in common with the line shown? infinitely many opyright by Pearson Education Page 14 of 15
15 opyright by Pearson Education Page 15 of 15
Infinite solutions; these are equivalent equations.
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