BRAINLIEST please
Alec calculated the slope of line AC between points A and B. Avis calculated the slope of line AC between points B and C. Both Alec and Avis drew triangles, as shown below, to calculate the slopes:

A graph shows numbers from 0 to 18 on the x axis at increments of 2 and the numbers 0 to 6 on the y axis at increments of 1. A line AC is drawn that joins the ordered pairs 0, 0 and 18, 6.The ordered pair 6, 2 is labeled as B. A right triangle is drawn with AB as hypotenuse and height 2 units. Another right triangle is drawn with BC as the hypotenuse and height 4 units.

Which statement is correct about the slopes calculated by Alec and Avis if both calculated the slopes accurately?

Both calculated the slope as 3.
Both calculated the slope as 1 over 3.
Alec calculated the slope as 1 over 3 and Avis calculated it as 3.
Alec calculated the slope as 3 and Avis calculated it as1 over 3.

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smartmouthteen01 smartmouthteen01 · Answer 1 · 2019-05-06T19:42:00+02:00

The answer is B . Please mark as brainliest :)

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erinna erinna · Answer 2 · 2019-06-27T11:40:10+02:00

Answer:

The correct option is 2.

Step-by-step explanation:

It is given that Alec calculated the slope of line AC between points A and B. Avis calculated the slope of line AC between points B and C.

If a line passing through two points then the slope of the line is

[tex]slope=\frac{y_2-y_1}{x_2-x_1}=\frac{Rise}{Run}[/tex]

The coordinates of A and B are A(0,0) and B(6,2). The slope of line AB is

[tex]m_1=\frac{2-0}{6-0}=\frac{1}{3}[/tex]

The coordinates of B and C are B(6,2) and C(18,6). The slope of line AB is

[tex]m_2=\frac{6-2}{18-6}=\frac{4}{12}=\frac{1}{3}[/tex]

[tex]m_1=m_2[/tex]

Both Alec and Avis calculated the slope as 1/3. Therefore the correct option is 2.