Select the correct answer from each drop-down menu,
Brian drew a line through points A(-1,-4) and B12,5). He drew another line through points (3,-7) and D(5,-1).
The slopes of the two lines are
The slope of AB is

Select the correct answer from each dropdown menu Brian drew a line through points A14 and B125 He drew another line through points 37 and D51 The slopes of the class=

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Answer:

same and 3

Step-by-step explanation:

I took test

The slopes of the two lines are 3, 3.

The slope of AB is 3.

What is the slope of a line passing through two points?

The slope of a line passing through points [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] is

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Given two points are [tex]A(-1, -4)[/tex] and [tex]B(2, 5)[/tex].

Therefore, the slope of a line passing through those two points is

[tex]m_{1} = \frac{5 - (-4)}{2-(-1)}[/tex]

⇒ [tex]m_{1} = \frac{9}{3}[/tex]

⇒ [tex]m_{1} = 3[/tex]

Another two points are [tex]C(3, -7)[/tex] and [tex]D(5, -1)[/tex].

[tex]m_{2} = \frac{-1 - (-7)}{5-3}[/tex]

⇒   [tex]m_{2} = \frac{6}{2}[/tex]

⇒   [tex]m_{2} = 3[/tex]

Learn more about slope of a line here: https://brainly.com/question/27869879

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