Answer:
B. The slope for triangle P and Q equals 1.
Step-by-step explanation:
From the graph, we can observe that both hypothenuses belong to the same line which passes through the origin [tex](0,0)[/tex].
To find the slope, which is the same for both hypothenuses, we apply the formula
[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Where the first point is D(-4,-4) and the second point is B(3,3), replacing these points in the formula, we have
[tex]m=\frac{3-(-4)}{3-(-4)}=\frac{3+4}{3+4}=\frac{7}{7}=1[/tex]
This means that the slope for both triangles is equal to 1.
Therefore, the right answer is B.
