My Landscaping Project - Essay Example

The coordinate graph of the backyard shows the location of trees, plants, the patio, and utility lines. (If necessary, you may copy and paste the image to another document and enlarge it.) a) What are the coordinates of Tree A Plant B Plant C Patio D Plant E Plant F Ans. A = (-20,20), B = (-20,-4), C = (-10,-14), D = (12,12), E = (8,-8), F = (18,-12)b) The water line is given by the equation. y=-2/3x-12Suppose you want to put a pink flamingo lawn ornament in your backyard, but you want to avoid placing it directly over the water line, in case you need to excavate the line for repairs in the future.

Could you place it at the point (-4,-10) Ans. y(-4) = (-2/3)*(-4) - 12 = 8/3 - 12 = -28/3 > - 10, so we can place the flamingo at (-4, -10).c) What is the slope and y-intercept of the line in part b How do you know Ans. Slope m = -2/3 and the y-intercept = (0,-12). The equation is in standard form y = mx + b (m = slope, b = y-intercept)d) Suppose you want to add a sprinkler system, and the location of one section of the sprinkler line can be described by the equation . y=-1/2x-4Complete the table for this equation. x y (x,y) -1 -2 -4 2 8Ans :x y (x,y) -6 -1(-6,-1) -2 -3(-2,-3)0 -4 (0,-4)2 -5(2,-5)8 -8(8,-8)e) What objects might be in the way as you lay the pipe for the sprinklerAns.

Plant E = (8,-8) and Plant F = (18, -12). Y(8) = (-1/2)8 - 4 = -4 -4 = -8 (exact coordinates of Plant E) Y(18) = (-1/2)18 -4 = -9 -4 = -13 (close to Plant F's y-coordinate)