Pregunta
Find the slopes of the lines
and
defined by the two given points. Then determine whether
and
are parallel, perpendicular, or neither.
and
and
Part:
The slope of
is 3
Part:
The slope of
Ask by Floyd Valdez. in the United States
Jan 27,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The slope of
is
and the slope of
is
. The lines are neither parallel nor perpendicular.
Solución
Let’s determine the slopes of lines
and
based on the given points and then analyze their relationship.
1. Calculating the Slope of
Given Points for
:
and
.
The formula for the slope (
) between two points
and
is:
Applying the formula:
Slope of
:
Note: It appears there was a miscalculation in your initial assessment stating the slope of
is 3. The correct slope is
.
2. Calculating the Slope of
Given Points for
:
and
.
Applying the slope formula:
Slope of
:
3. Analyzing the Relationship Between
and
-
Parallel Lines: Two lines are parallel if their slopes are equal.Conclusion:
and are not parallel. -
Perpendicular Lines: Two lines are perpendicular if the product of their slopes is
. Conclusion:and are not perpendicular. -
Neither Parallel Nor Perpendicular: Since neither condition above is met.Final Conclusion:
and are neither parallel nor perpendicular.
Summary
- Slope of
: - Slope of
: - Relationship: Neither parallel nor perpendicular.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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The Deep Dive
To find the slope of line
defined by the points
and
, we use the formula for slope:
Substituting in the values:
So, the slope of line
is
, not 3! Now for line
defined by points
and
:
Now, we check if the lines are parallel, perpendicular, or neither. Lines are parallel if their slopes are equal and perpendicular if the product of their slopes equals -1. Here,
and
. The product is:
Since the product is not -1, the lines
and
are neither parallel nor perpendicular.

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