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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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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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Ramón 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) .