Question

HELP

Answer 1

The figure shows a line graph and two shaded triangles that are similar:

A line is shown on a coordinate grid. The x axis values are from negative 20 to positive 20 in increments of 4 for each grid line. The y axis values are from negative 5 to positive 5 in increments of 1 for each grid line. The line passes through the ordered pairs negative 16, negative 4, and 0, 0, and 16, 4. A shaded right triangle is formed so that its hypotenuse is from ordered pair 0, 0 labeled as O to negative 8, negative 2 labeled as A, one leg is from 0, 0 to 0, negative 2, and the second leg is from 0, negative 2 to negative 8, negative 2. Another shaded right triangle is formed with the hypotenuse from negative 8, negative 2 to negative 12, negative 3 labeled as B, one leg is from negative 8, negative 2 to negative 8, negative 3, and the second leg is from negative 12, negative 3 to negative 8, negative 3.

Which statement about the slope of the line is true?

The slope from point O to point A is fraction 1 over 4 time the slope of the line from point A to point B.
The slope from point O to point A is four times the slope of the line from point A to point B
It is 4 throughout the line.
It is fraction 1 over 4 throughout the line.

Answer 2

@Michele_Laino

Answer 3

@welshfella

Answer 4

omg what grade math is this?

Answer 5

8th

Answer 6

@Michele_Laino

Answer 7

oh 8 that shouldnt be hard for me then wtf

Answer 8

@Michele_Laino please help

Answer 9

hint:
slope of segment OA, is:
\[\huge - \frac{{0 - {y_A}}}{{0 - {x_A}}} = ...?\]

Answer 10

whereas, slope of AB is:
\[\huge \frac{{{y_A} - {y_B}}}{{{x_A} - {x_B}}} = ...?\]
going from \(A\) to \(B\)

Answer 11

so the answer is B @Michele_Laino

Answer 12

are you sure?

Answer 13

@yes i think what do you think the answer choice is for this question?

Answer 14

@Michele_Laino

Answer 15

please compute both slopes, using my formulas above, what do you get?

Answer 16

c

Answer 17

I'm sorry, option C. is a wrong option

Answer 18

i ment D sorry

Answer 19

why it is option D.?

Answer 20

i think it is because when you compute or it could be A

Answer 21

?

Answer 22

hint:
\[\begin{gathered}
- \frac{{0 - {y_A}}}{{0 - {x_A}}} = - \frac{{0 - \left( { - 2} \right)}}{{0 - \left( { - 8} \right)}} = ...? \hfill \\
\hfill \\
- \frac{{{y_A} - {y_B}}}{{{x_A} - {x_B}}} = - \frac{{ - 2 - \left( { - 3} \right)}}{{ - 8 - \left( { - 12} \right)}} = ...? \hfill \\
\end{gathered} \]

Answer 23

oh its A

Answer 24

if you try to compute those quantities above, you will find the same value in both cases, and such value is \(-1/4\), so what can you conclude?

Answer 25

oh so the answer is D

Answer 26

correct! I'm sorry since my formulas have the wrong sign, here are the right formulas:
\[\begin{gathered}
\frac{{0 - {y_A}}}{{0 - {x_A}}} = \frac{{0 - \left( { - 2} \right)}}{{0 - \left( { - 8} \right)}} = \frac{1}{4} \hfill \\
\hfill \\
\frac{{{y_A} - {y_B}}}{{{x_A} - {x_B}}} = \frac{{ - 2 - \left( { - 3} \right)}}{{ - 8 - \left( { - 12} \right)}} = \frac{1}{4} \hfill \\
\end{gathered} \]

Answer 27

ohhh ok thank you i just need help with a few more i will tag you friend

Answer 28

ok!