Week 4 checkpoint 1) Plot (-1, -2) on the coordinate axes (show chart) The plot looks like this: 2) In which quadrant is the second coordinate positive (shown chart and answer) Quadrants 1 and 2 3 ) find the coordinates of the point shown on the graph, What are the coordinates of the point (Show answer and chart) graph not included 4) ------------------------------problem missing 5)--------------------------------problem missing 6) Graph the equation and identify the y- intercept y=1/2x y-intercept is (0, 0) The graph looks like this: 7) Graph the equation and identify the y- intercept y=2x -8 y-intercept is (0, -8) The graph looks like this: 8) Graph the equation and identify the y- intercept y + x = -3 y-intercept is (0, -3) The graph looks like this: 9) Graph the equation and identify the y- intercept x + 3y = 12 y-intercept is (0, 4) The graph looks like this: 10) the value, v, of a shopkeeper’s inventory software program is given by v = 1/3t + 5, where t is the number of years since the shopkeeper bought the program. What is the program worth 9 years after it is first purchased ( plot the point with the given t- value, 9 (Is this equation correct? This equation leads to an increasing value, when it seems like the value of the program should probably decrease with time.) If it is correct as written: v = (1/3)9 + 5 = 3 + 5 = 8 The plot looks like this: 11) Find the coordinates of the y-intercept and of the x intercept (what is the y- intercept equation missing 12) Find the coordinates of the y-intercept and of the x intercept 5x + 2y= 50 y-intercept is (0, 25) x-intercept is (10, 0) 13) Use the intercept to graph the equation x + 2y = 4 y-intercept is (0, 2) The graph looks like this: x-intercept is (4, 0) 14) Find the intercepts and then use them to graph the equation 4y – 9 = 3x y-intercept is (0, 9/4) x-intercept is (-3, 0) The graph looks like this: 15) Find the intercepts and then use them to graph the equation y= -3 – 3x y-intercept is (0, -3) The graph looks like this: x-intercept is (-1, 0) 16) Graph the equation y= 4 The graph looks like this: 17) Graph the equation by plotting points 35 – 5y = 0 The equation reduces to y = 7. The graph looks like this: 18) Write the equation for the graph ( Show graph) graph not included 19) ---------------------------------problem missing 20) ======================== problem missing 21) ========================= problem missing 22) Graph the line containing the given pair of points and find the slope (9,0) and (5, -9) slope = 9/4 The graph looks like this: 23 ) find the slope, if it exist, of the line containing the points ( -5,1/2) and (– 2, ½) slope = 0 (graph is a horizontal line) The graph looks like this: 24 ) A roof rises 0.5 foot vertically and 6.2 feet horizontally. What is the grade of the roof ( the grade of the roof is ___ % 8.06% 25) Find the rate at which a runner burns calories graph not included 26) Data regarding the value of a particular color copier is represented in the graph. Find the rate of change of the value with respect to time in dollar per year graph not included 27) find the slope, if it exist y = 6x + 8 slope = 6 28) find the slope, if it exist 8x – y = 7 slope = 8 29) find the slope, if it exist y = - 1.86 x slope = -1.86 30) find the slope, if it exist 6x – 20y + 12 = 0 slope = 3/10
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