section 1_10 solutions

# section 1_10 solutions - Here are the the worked solutions...

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Math 1650 Homework Solutions Jason Snyder, PhD. Page 1 of 9 § 1.10 2-36 (even), 42 52 (even), 54, 56, 60, 68 Solutions 1 8 Find the slope of the line through P and Q . 2) P (0,0), Q (2,-6) 𝑚 = ? 2 −? 1 ? 2 −? 1 = 6 0 2 0 = 6 2 = 3. 4) P (1,2), Q (3,3) 𝑚 = ? 2 −? 1 ? 2 −? 1 = 3 2 3 1 = 1 2 . 6) P (2,-5), Q (-4,3) 𝑚 = ? 2 −? 1 ? 2 −? 1 = 3 ( 5) 4 2 = 3+5 6 = 8 6 = 4 3 . 8) P (-1,-4), Q (6,0) 𝑚 = ? 2 −? 1 ? 2 −? 1 = 0 ( 4) 6 ( 1) = 4 7 . 10) (a) Sketch lines through (0,0) with slopes 1, 0, 1 2 , 2, and 1 . (b) Sketch lines through (0,0) with slopes 1 3 , 1 2 , 1 3 , and 3. -8 -6 -4 -2 2 4 6 8 -5 5 x y -8 -6 -4 -2 2 4 6 8 -5 5 x y

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Math 1650 Homework Solutions Jason Snyder, PhD. Page 2 of 9 11 14 Find an equation for line whose graph is sketched. 12) The line passes through the points (-2,0) and (0,4), thus its slope is given by 𝑚 = 4 0 0 ( 2) = 4 2 = 2. The slope-intercept form of the line is therefore given by ? = 2 ? + 4. 14) The line passes through the points (-3,0) and (0,-4), thus its slope is given by 𝑚 = 4 0 0 ( 3) = 4 3 . The slope-intercept form of the line is therefore given by ? = 4 3 ? − 4.
Math 1650 Homework Solutions Jason Snyder, PhD. Page 3 of 9 15 34 Find an equation of the line that satisfies the given conditions.

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