Pregunta
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The correct equation of a line parallel to
Solución
To find a line parallel to
-
Determine the slope of the parallel line:
- Parallel lines have the same slope.
- The given line has a slope of 2.
-
Use the slope-intercept form
: - We know
. - Substitute the point
into the equation to find :
- We know
-
Write the equation of the parallel line:
Correct Answer:
c
c
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Simplifique esta solución Beyond the Answer
To find an equation of a line parallel to line EF, we know that parallel lines have the same slope. The slope of line EF, given by the equation
Using the point-slope form, we can determine the new line’s equation:
- The equation will still have the same slope: 2.
- Since the line passes through (0, 2), we can directly deduce its equation as
.
So, the correct answer is
A fun fact: Did you know that slopes in parallel lines represent not just a relationship in geometry but also in the context of real-life roads and paths? When two roads run parallel, they maintain the same steepness – just like our lines on a graph!
As for the concept of slope in art, imagine how artists use lines and angles in their drawings and paintings. Lines with different slopes can create visual interest and depth, while parallel lines can give a sense of harmony and balance. Pretty cool, right?
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