Õ¾x½läÌËèó¥oÄ{Û·¢ÅIô¡ Student Name: assignment #008
.................................................
......!!!!!!!!...................................
14:02:31 `q001. Note that this assignment has 4 questions For the function y = 1.1 x + .8, what are the coordinates of the x = 2 and x = 9 points? What is the rise between these points and what is the run between these points? What therefore is the slope between these points?
......!!!!!!!!...................................
RESPONSE --> For the function y = 1.1 x + .8. the rise between the points x = 2 and x = 9 is 7.7 and the run between the same two points is 7.0. Therefore the slope between the two points by definition of slope = rise / run is 7.7 / 7.0 is 1.1
.................................................
......!!!!!!!!...................................
14:02:40 Evaluating y = 1.1 x +.8 for x = 2 and x = 9 we obtain y = 3 and y = 10.7. The graph points are therefore (2,3) and (9,10.7). The rise between these points is 10.7 - 3 = 7.7 and the run is 9-2 = 7. Thus the slope is 7.7 / 7 = 1.1.
......!!!!!!!!...................................
RESPONSE --> OK
.................................................
......!!!!!!!!...................................
14:21:03 `q002. For the function y = 1.1 x + .8, what are the coordinates of the x = a point, in terms of the symbol a? What are the coordinates of the x = b point, in terms of the symbol b?
......!!!!!!!!...................................
RESPONSE --> In the function of y = 1.1 x + .8 the coordinates for x = z and x = b will be (a, 1.1 a + .8) and (b, 1.1b + .8)
.................................................
......!!!!!!!!...................................
14:21:15 If x = a, then y = 1.1 x + .8 gives us y = 1.1 a + .8. If x = b, then y = 1.1 x + .8 gives us y = 1.1 b + .8. Thus the coordinates of the x = a point are (a, 1.1 a + .8) and (b, 1.1 b + .8).
......!!!!!!!!...................................
RESPONSE --> OK
.................................................
......!!!!!!!!...................................
14:27:03 `q003. We see that the coordinates of the x = a point are (a, 1.1 a + .8) and (b, 1.1 b + .8). What therefore is the rise between these two points? What is the run between these two points?
......!!!!!!!!...................................
RESPONSE --> The rise between the two points is (1.1b + .8) - (1.1a + .8) and the run between the points is (1.1b + .8) - (1.1a + .8)
.................................................
......!!!!!!!!...................................
14:30:24 The rise between the points is the rise from y = 1.1 a + .8 to y = 1.1 b + .8, a rise of rise = (1.1 b + .8) -(1.1 a + .8) = 1.1 b + .8 - 1.1 a - .8 = 1.1 b - 1.1 a. The run is from x = a to x = b, a run of run = b - a.
......!!!!!!!!...................................
RESPONSE --> I didn't simplify the rise of the two points that were listed in my answer, and if I had done so, my answer will comply with the one listed of 1.1 b - 1.1 a. I guess I was just not paying attention or trying to make it harder than needed when I described the run...I see now from the points given in the question that it is a simple solution of b - a.
.................................................
......!!!!!!!!...................................
21:36:28 `q004. We see that the rise between the x = a and x = b points of the graph of y = 1.1x +.8 is 1.1 b + .8 - (1.1 a + .8), while the run is b - a. What therefore is the average slope of the graph between these points? Simplify your answer.
......!!!!!!!!...................................
RESPONSE --> The defitition of slope is rise / run, therefore the rise of this equation is 1.1b +.8 -(1.1 a + .8) / b - a. By simple division the slope of this equation would be 1.1 b - 1.1a - .8 / b -a. Simplified would be 1.1 - 1.1 which equals 0.
.................................................
......!!!!!!!!...................................
21:37:55 The slope is slope = rise / run = (1.1 b - 1.1 a) / (b - a) = 1.1 (b - a) / (b - a) = 1.1. The significance of this series of exercises is that the slope between any two points of the straight line y = 1.1 x + .8 must be 1.1, no matter whether the points are given by numbers (e.g., x = 2 and x = 9) or by symbols (x = a and x = b). Mostly
......!!!!!!!!...................................
RESPONSE --> I did my division incorrectly. I see that by pulling out the common multiplier (1.1) will leave b - a which is divisible by the denominator leaving 1.1
.................................................
"