Problemas
18) through: (5,4) parallel to y=(3)/(5)x-1 A) y=(3)/(5)x+1 B) y=-(3)/(5)x+1 C) y=(2)/(5)x-(3)/(5) D) y=x-(3)/(5)
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élite · Tutor durante 8 años
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Respuesta
To find the equation of the line that passes through the point
and is parallel to the line
, we need to use the fact that parallel lines have the same slope.The slope of the given line
is
. Since the line we are looking for is parallel to this line, it will also have a slope of
.Now, we can use the point-slope form of a linear equation to find the equation of the line. The point-slope form is given by:
where
is a point on the line and
is the slope.Substituting the given point
and the slope
into the point-slope form, we get:
Simplifying this equation, we have:
Therefore, the equation of the line that passes through the point
and is parallel to the line
is
.So, the correct answer is A)
.