course Mth 163 Assignment 10 Query
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RESPONSE --> y1 = f(x1) = -1.77 (x1) - 3.87 y2 = f(x2) = -1.77 (x2) - 3.87 confidence assessment: 2
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09:40:26 ** y1 = f(x1) = -1.77 x1 - 3.87 y2 = f(x2) = -1.77 x2 - 3.87. `dy = y2 - y1 = -1.77 x2 - 3.87 - ( -1.77 x1 - 3.87) = -1.77 x2 + 1.77 x1 - 3.87 + 3.87 = -1.77 ( x2 = x1). Thus slope = `dy / `dx = -1.77 (x2 - x1) / (x2 - x1) = -1.77. This is the slope of the straight line, showing that these symbolic calculations are consistent. **
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RESPONSE --> I see, I just didn't go far enough. self critique assessment: 2
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09:41:04 query problem 5. graphs of families for y = mx + b. Describe your graph of the family: m = 2, b varies from -3 to 3 by step 1.
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RESPONSE --> slope=m=2 y axis=-3 and 3 confidence assessment: 2
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09:41:19 ** The graphs will all have slope 2 and will pass thru the y axis between y = -3 and y = 3. The family will consist of all such graphs. **
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RESPONSE --> I got it. self critique assessment: 2
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09:42:01 query problem 6. three basic points graph of y = .5 x + 1 what are your three basic points?
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RESPONSE --> y intercept (0,1) x intercept (-2,0) and point to right of y is (1,1.5) confidence assessment: 2
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09:42:13 ** This is of the form y = mx + b with b= 1. So the y intercept is (0, 1). The point 1 unit to the right is (1, 1.5). The x-intercept occurs when y = 0, which implies .5 x + 1 = 0 with solution x = -2, so the x-intercept is (-2, 0). **
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RESPONSE --> I understand self critique assessment: 2
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09:42:32 query problem 6. three basic points graph of y = .5 x + 1 What are your three basic points?
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RESPONSE --> same as last answer confidence assessment: 2
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09:42:50 ** The y intercept occurs when x = 0, at which point we have y = .5 * 0 + 1 = 1. So one basic point is (0, 1). The point 1 unit to the right of the y axis occurs at x = 1, where we get y = .5 * 1 + 1 = 1.5 to give us the second basic point (1, 1.5) }The third point, which is not really necessary, is the x intercept, which occurs when y = 0. This gives us the equation 0 = .5 x + 1, with solution x = -2. So the third basic point is (-2, 0). **
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RESPONSE --> I understand. self critique assessment: 2"