Respuesta :

Answer:

x-intercept: x=6.2

y-intercept: y=3.1

Step-by-step explanation:

  • The x intercept graphically speaking is found when the function intersects with the x-axis, which happens when y=0.
  • Then, to obtain the x intercept, we have to make y=0 in our equation, and clear the value of x, which would be our x-intercept.  If we make y=0, we get [tex]2x=12.4[/tex]⇒[tex]x=6.2[/tex]. Then iwe get x=6.2., which is our x-intercept.
  • Analogously, the y intercept is seen graphically as the value of y when x=0, which is the value of the function that intercesects the y-axis. This happens when x=0. Then, to find the y intercept, we have to make x=0 in our equation, and clear the resulting value of y, as follows: [tex]4y=12.4[/tex]⇒[tex]y=3.1[/tex] ,  y=3.1, which is our y intercept.
  • Graphically, you will see the intercepts we have just calculated by doing x=0 or y=0. (See picture attached)
Ver imagen veronicaculs