Podcast
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?
- 5/3
- 15/9
- 3/5
- -3/5 (correct)
What is the point-slope form of the equation of a line?
What is the point-slope form of the equation of a line?
- y = mx + b
- x = my + b
- y = m/x + b
- y - y1 = m(x - x1) (correct)
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?
- y = 3/5x - 2
- y = -3/5x + 38/5 (correct)
- y = -5/3x + 1
- y = 5/3x + 2
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?
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?
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.
La fórmula para calcular un aumento porcentual es (Aumento ÷ ______ amount) × 100
La fórmula para calcular un aumento porcentual es (Aumento ÷ ______ amount) × 100
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).
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.
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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