Could you please help me with the approach for this question.
In the xy-coordinate plane, line l and line k intersect at the point (4,3). Is the product of their slopes negative?
I. The product of the x-intercepts of lines l and k is positive.
II. The product of the y-intercepts of lines l and k is negative.
Hi Ryan,
Again, this could be best solved if you visualize and plot it.
Given that, line k and line l intersect at point (4,3).
Question: Is the product of the slopes negative?
Statement I is insufficient:
So, they both have positive x-intercept OR -ve x=intercept
This is not sufficient, you can use below diagram, both can have +ve slope or they can have one -ve and one +ve slope
Statement II is insufficient:
So, they both intersect y-axis on different sides of X-axis.
This is not sufficient, you can use below diagram, both can have +ve slope or they can have one -ve and one +ve slope
Together it is sufficient,
They are sufficient, as only the option with two lines on right of y-axis is possible.
Hence products of slopes are negative.
So sufficient.
