Pregunta
A line passes through the points
and
. Write its equation in slope-intercept
form.
Write your answer using integers, proper fractions, and improper fractions in simplest form
form.
Write your answer using integers, proper fractions, and improper fractions in simplest form
Ask by Norton Sanders. in the United States
Jan 10,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The equation of the line in slope-intercept form is
.
Solución

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Como
Bonus Knowledge
To find the equation of the line in slope-intercept form, we first need to calculate the slope
using the formula:
Substituting the points
and
:
Now we have the slope
. Next, we use the point-slope form
using point
:
Simplifying this gives:
The equation of the line in slope-intercept form is:
Now, onto some fun facts!
Did you know that the concept of slope has been around since ancient civilizations? The Greeks, for example, made significant contributions to geometry and the understanding of linear relationships long before our modern equations came into play!
Also, lines are not just abstract concepts; they play a vital role in real-world applications like architecture and engineering. For instance, when designing a ramp for accessibility, engineers must calculate the slope to ensure that it meets safety regulations while remaining easy to navigate.

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