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Questions and Answers
What is the slope of the line that is perpendicular to the line with a slope of 5/3?
What is the slope of the line that is perpendicular to the line with a slope of 5/3?
What is the point-slope form of the equation of a line?
What is the point-slope form of the equation of a line?
What is the equation of the line that passes through the point (6,4) and is perpendicular to the line with a slope of 5/3?
What is the equation of the line that passes through the point (6,4) and is perpendicular to the line with a slope of 5/3?
What is the purpose of using an online calculator to verify the result?
What is the purpose of using an online calculator to verify the result?
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What is the value of x1 in the point-slope form of the equation of the line?
What is the value of x1 in the point-slope form of the equation of the line?
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Un aumento porcentual es una forma de expresar un aumento en cantidad como un ______ del monto original.
Un aumento porcentual es una forma de expresar un aumento en cantidad como un ______ del monto original.
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La fórmula para calcular un aumento porcentual es (Aumento ÷ ______ amount) × 100
La fórmula para calcular un aumento porcentual es (Aumento ÷ ______ amount) × 100
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Para encontrar un ______ de un número, se multiplica el número por el porcentaje (como decimal).
Para encontrar un ______ de un número, se multiplica el número por el porcentaje (como decimal).
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Un descenso porcentual es una forma de expresar un descenso en cantidad como un ______ del monto original.
Un descenso porcentual es una forma de expresar un descenso en cantidad como un ______ del monto original.
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Para convertir un ______ a un decimal, se divide entre 100.
Para convertir un ______ a un decimal, se divide entre 100.
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Study Notes
- The problem is to find the equation of the line that passes through the point (6,4) and is perpendicular to the line with a slope of 5/3.
- The equation of a line in point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
- Since the line is perpendicular to the line with a slope of 5/3, the slope of the desired line is the negative reciprocal of 5/3, which is -3/5.
- Substituting the point (6,4) and the slope -3/5 into the equation, we get y - 4 = -3/5(x - 6).
- Simplifying the equation, we get y = -3/5x + 38/5.
- To verify the result, we can use an online calculator that takes the slope and a point as input and plots the line.
- The calculator confirms that the line y = -3/5x + 38/5 passes through the point (6,4) and is perpendicular to the line with a slope of 5/3.
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Description
Find the equation of a line that passes through a point and is perpendicular to another line. Learn how to use the point-slope form and the concept of negative reciprocal slope. Verify the result using an online calculator.
