Solution

Note that the slope of each of the lines is positive, since each line rises as it goes to the right. Since the slopes of both lines are positive and line k rises faster (or is steeper) than line , line k has the greater slope, and the correct answer is \(A\).
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Since both lines go UP as we travel from left to right, we know that both slopes are POSITIVE
Since line k is STEEPER than line j, we know that the slope of line k is GREATER THAN the slope of line l.

Answer: A

Cheers,
Brent
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Can we calculate the values also? or just the steeper line will be the decision point?
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For this question, the aren't given any information that would help us calculate the slopes.
Instead we have to rely on the fact that both lines have positive slopes, and line k is steeper (which means that has a bigger slope)

Cheers,
Brent
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Just want to clear my concept of steeper slope.
if y=-6x+1
and
y=2x+3

which would be steeper then?
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For the line defined by the equation y = -6x + 1, the slope is -6
For the line defined by the equation y = 2x + 3, the slope is 2

So, the line defined by the equation y = -6x + 1 is steeper.



Cheers,
Brent
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Thanks a lot Brent for your guidance. I assume negative sign won't be considered and since 6>2 so slope value with -6 is steeper than +2
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That's correct.

In general, we can create the following rule
If line M has slope m and line N has slope n, then:
If |m| > |n|, then line M is STEEPER than line N
If |m| < |n|, then line N is STEEPER than line M
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