Pregunta
Find the slope of the line passing through the given pair of points, if the slope is defined. Answer
exactly.
and
exactly.
Ask by Weber Ayala. in the United States
Jan 30,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The slope of the line is
.
Solución
To find the slope
of the line passing through the points
and
, you can use the slope formula:
Where:
Plugging in the values:
Answer:
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Extra Insights
To find the slope of the line passing through the points
and
, you can use the slope formula:
Here,
and
. Plugging in these values:
So, the slope of the line is
.
Now, let’s take a little historical detour. The concept of slope dates back to ancient Greek mathematicians, who were the first to study geometric shapes and angles. They helped set the foundation for what we now call coordinate geometry!
And speaking of real-world application, the concept of slope is essential in various fields like engineering, architecture, and even finance. Understanding how steep a line is can help you determine how quickly a hill rises, the angle of a ramp, or the trend of stock prices!
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