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In the xy-plane, Line K and K pass through point (1,1), K's [#permalink]
22 Jul 2009, 11:47

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In the xy-plane, Line K and K pass through point (1,1), K's Y-intercept is greater than L's Y-intercept? 1). K's slope is less than that of L 2). L's slope is negative.

In the xy-plane, Line K and K pass through point (1,1), K's Y-intercept is greater than L's Y-intercept? 1). K's slope is less than that of L 2). L's slope is negative.

Ans is A

can do it by 2 methods. 1) eqn y = mx + c

if y and x are same at a point, then lesser the m, greater the C.

2) imagine the 2 lines, and assume L to be anything, say x=y as you reduce the slope of K, C increases, and vice versa.

1) a) If K's slope is negative and L's slope is negative then K's y-intercept is less than that of L. b) If K's slope is positive and L's slope is positive then K's y-intercept is greater than that of L.

INSUFF

2) We don't know about other line's slope.

INSUFF

Combining, L's slope is negative and K's slope is less than that of L. This means K's slope is also negative. => y-intercept of K is less than that of L.

1) a) If K's slope is negative and L's slope is negative then K's y-intercept is less than that of L. b[/color]) If K's slope is positive and L's slope is positive then K's y-intercept is greater than that of L.

INSUFF

2) We don't know about other line's slope.

INSUFF

Combining, L's slope is negative and K's slope is less than that of L. This means K's slope is also negative. => y-intercept of K is less than that of L.

how is the conclusion made from slope about intercept

1) eqn y = mx + c if y and x are same at a point, then lesser the m, greater the C. a) If K's slope is negative and L's slope is negative then K's y-intercept is GREATER than that of L. b) If K's slope is positive and L's slope is positive then K's y-intercept is GREATER than that of L.

Draw the following graphs: 2x - 1 (slope 2, y-intercept -1) 4x - 3 (slope 4, y-intercept -3) The less the scope, the major is the interception

-2x + 3 (slope -2, y-intercept 3) -4x + 5 (slope -2, y-intercept 5) The less the scope, the major is the interception SUFFICIENT

2) ok, but what about K? Without reference, without comparison. NOT SUFFICIENT

Answer A

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