Question

Please solve this. Include show work and explain the reasoning. Thank you!

Four points are labeled on a graph. Rank the slopes of the graph at the labeled points. Explain your reasoning.

Answer 1

I am putting the rank both with and without the signs of the slopes which means one with only magnitude of the rank and the other with sign of the slopes.

For point A- the slope of the line boxes in y-direction - 6 x-direction-2 Let the scale be m & n ln x & y respectively. So, slope = 6n/2m = 3n/m for point B - y-direction: - y-direction + 5 x-direction + 4 slope = 5n/4m = 1.25n/m for point c lies on the same line as B so, slope = 1.25n/m for point D y-direction rightarrow 6 slope = 6n/m But the slope of 'A' is negative: B, C, D rightarrow positive so, Magnitude wise rank rightarrow D > A > B = C Rank including sign rightarrow D > B = C > A