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quiz 11A sol - Solutions to Quiz 11A...

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Solutions to Quiz 11A www.math.ufl.edu/˜harringt October 27, 2007 1. Let x = 5 be the line L . (a) Find the slope of a line that is parallel to L . m = undefined (b) Find the slope of a line that is perpendicular to L . m = 0 Note: To see why, please graph x = 5. 2. Find the equation for the line containg the x-intercept 2 and the y- intercept 3. Write your answer in slope-intercept form. METHOD 1: With x-intercept 2 and y-intercept 3, we know that the line contains the points (0 , 3) and (2 , 0). Now we can find the slope. m = Δ y Δ x = 3 - 2 = - 3 2 Hence, y = - 3 2 x + b . Since we already know that the y-intercept is 3, then, b = 3. So, y = - 3 2 x + 3. METHOD 2: The studious student could recall from the homework on page 193 num- ber 82 that x a + y b = 1 1
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where a is the nonzero x-intercept and b is the nonzero y-intercept. Thus, we have the following: x 2 + y 3 = 1 y 3 = - x 2 + 1
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