Pregunta
upstudy study bank question image url

a. Rewrite the given equation in slope-intercept form by
solving for .
b. Give the slope and -intercept.
c. Use the slope and -intercept to graph the linear
function.

Ask by Bowen Li. in the United States
Mar 25,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

a. Rewrite the equation in slope-intercept form:
b. Slope ( ) is and -intercept ( ) is .
c. To graph the function:
  • Plot the -intercept at .
  • Use the slope to find another point, such as .
  • Draw a straight line through these points.

Solución

  1. Rewrite in Slope-Intercept Form:
    Starting with
    subtract from both sides to solve for :
    This can be rewritten as
  2. Identify Slope and -intercept:
    In the slope-intercept form , the slope is and the -intercept is .
    • Slope:
    • -intercept:
  3. Graph the Linear Function:
    • First, plot the -intercept at .
    • Next, use the slope which tells you that for every 1 unit increase in , decreases by 3. From the point , moving 1 unit to the right gives and , so plot the point .
    • Similarly, you can use the slope in the opposite direction: moving 1 unit to the left (i.e., ), , and plot the point .
    • Draw a straight line through these points to complete the graph.

Respondido por UpStudy AI y revisado por un tutor profesional

error msg
Explicar
Simplifique esta solución

The Deep Dive

To rewrite the equation in slope-intercept form (which is ), we first need to solve for . Subtract from both sides:
Here, the slope (m) is and the y-intercept (b) is .
For graphing, start at the y-intercept point (0, 8) on the y-axis. From there, use the slope of (which represents a rise of and a run of ). Move down 3 units and right 1 unit to plot the next point at (1, 5). Continue this pattern to sketch a straight line through those points!

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde Hazte Premium
Estudiar puede ser una verdadera lucha
¿Por qué no estudiarlo en UpStudy?
Seleccione su plan a continuación
Prima

Puedes disfrutar

Empieza ahora
  • Explicaciones paso a paso
  • Tutores expertos en vivo 24/7
  • Número ilimitado de preguntas
  • Sin interrupciones
  • Acceso completo a Respuesta y Solución
  • Acceso completo al chat de PDF, al chat de UpStudy y al chat de navegación
Básico

Totalmente gratis pero limitado

  • Solución limitada
Bienvenido a ¡Estudia ahora!
Inicie sesión para continuar con el recorrido de Thoth AI Chat
Continuar con correo electrónico
O continuar con
Al hacer clic en "Iniciar sesión", acepta nuestros términos y condiciones. Términos de Uso & Política de privacidad