+0

Let and be real numbers, where , and let and . The line (meaning the unique line that

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Let  and  be real numbers, where , and let  and . The line  (meaning the unique line that contains the point  and the point ) has -intercept  and -intercept . Find  and . Express your answer as the ordered pair .

Guest Nov 16, 2014

#1
+26402
+10

slope = (3 - 0)/(0 - (-3/2)) or slope = 2

slope = (b2 - 3)/(b - 0) so  (b2 - 3)/b = 2

b2 - 3 = 2b

b2 - 2b - 3 = 0

(b + 1)(b - 3) = 0

so b = -1 or b = 3

Similarly we would find a = -1 or b = 3, but we are told a<b so a = -1 and b = 3

(-1, 3)

.

Alan  Nov 16, 2014
Sort:

#1
+26402
+10

slope = (3 - 0)/(0 - (-3/2)) or slope = 2

slope = (b2 - 3)/(b - 0) so  (b2 - 3)/b = 2

b2 - 3 = 2b

b2 - 2b - 3 = 0

(b + 1)(b - 3) = 0

so b = -1 or b = 3

Similarly we would find a = -1 or b = 3, but we are told a<b so a = -1 and b = 3

(-1, 3)

.

Alan  Nov 16, 2014

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