State if the line passing through the points $\left( \frac { 3 } { 4 } , 9 \right)$ and $\left( 6 , - \frac { 5 } { 2 } \right)$ rises, falls, is horizontal, or is vertical.

A) The line passing through the points $\left( \frac { 3 } { 4 } , 9 \right)$ and $\left( 6 , - \frac { 5 } { 2 } \right)$ rises.
B) The line passing through the points $\left( \frac { 3 } { 4 } , 9 \right)$ and $\left( 6 , - \frac { 5 } { 2 } \right)$ horizontal.
C) The line passing through the points $\left( \frac { 3 } { 4 } , 9 \right)$ and $\left( 6 , - \frac { 5 } { 2 } \right)$ falls.
D) The line passing through the points $\left( \frac { 3 } { 4 } , 9 \right)$ and $\left( 6 , - \frac { 5 } { 2 } \right)$ vertical.

Question

State if the line passing through the points

\left( \frac { 3 } { 4 } , 9 \right)

and

\left( 6 , - \frac { 5 } { 2 } \right)

rises, falls, is horizontal, or is vertical.

A) The line passing through the points

\left( \frac { 3 } { 4 } , 9 \right)

and

\left( 6 , - \frac { 5 } { 2 } \right)

rises.
B) The line passing through the points

\left( \frac { 3 } { 4 } , 9 \right)

and

\left( 6 , - \frac { 5 } { 2 } \right)

horizontal.
C) The line passing through the points

\left( \frac { 3 } { 4 } , 9 \right)

and

\left( 6 , - \frac { 5 } { 2 } \right)

falls.
D) The line passing through the points

\left( \frac { 3 } { 4 } , 9 \right)

and

\left( 6 , - \frac { 5 } { 2 } \right)

vertical.

Emelyn Tucker · Accepted Answer

Final Answer : C, Explanation :   The slope of the line can be calculated using the formula   y 2 − y 1 x 2 − x 1 \frac{y_2 - y_1}{x_2 - x_1} x 2 ​ − x 1 ​ y 2 ​ − y 1 ​ ​  . Substituting the given points, we get a negative slope, indicating that the line falls as we move from left to right.

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