To find if the slope of k less than the slope of ℓ

Statement 1The x-intercept of line k is positive, and the x-intercept of line ℓ is negative.

Case 1K can have a +ve slope when k rises upward while running from left to right and ℓ can have a -ve slope when ℓ slides downward while running from left to right

=> slope of line k > slope of line ℓ

Case 2K can have a -ve slope when k slides downwards while running from left to right and ℓ can have a +ve slope when ℓ rises upward while running from left to right

=> slope of line k < slope of line ℓ

Statement 1 is not sufficientStatement 2Lines k and ℓ intersect on the positive y-axis. Both the above mentioned cases are still possible

Statement 2 is not sufficientCombining statements 1 and 2Since x-intercept of line k is positive and y-intercept of line k is positive => K has negative slope

Since x-intercept of line ℓ is negative and y-intercept of line ℓ is positive => ℓ has positive slope

=> slope of line ℓ > slope of line k

Statements 1 and 2 together are sufficientHence option C
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