Pregunta
Write an equation for the line described. Give the answer in standard form. through \( (2,9), \mathrm{m}=-2 \) The equation of the line is \( \square \). (Type your answer in standard form.)
Ask by Herrera Chavez. in the United States
Feb 28,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The equation of the line in standard form is \( 2x + y - 13 = 0 \).
Solución
We start with the point-slope form of a line:
y - y₁ = m(x - x₁)
Given the point (2, 9) and slope m = -2, substitute these values:
y - 9 = -2(x - 2)
Distribute -2:
y - 9 = -2x + 4
Add 9 to both sides to solve for y:
y = -2x + 13
To write in standard form, add 2x to both sides:
2x + y = 13
Thus, the equation of the line in standard form is:
2x + y - 13 = 0
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg
Explicar 
Simplifique esta solución Mind Expander
To find the equation of the line in standard form, we start with the point-slope equation: \( y - y_1 = m(x - x_1) \). Here, \( m = -2 \) and the point \( (x_1, y_1) = (2, 9) \). Plugging in these values gives us: \[ y - 9 = -2(x - 2) \] This simplifies to: \[ y - 9 = -2x + 4 \] Adding 9 to both sides results in the slope-intercept form: \[ y = -2x + 13 \] To convert to standard form \( Ax + By = C \), we rearrange: \[ 2x + y = 13 \] So, the final answer in standard form is: \[ 2x + y = 13 \]
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium
