Respuesta :

y intercept (0 , 26) and x intercept (6,5 , 0)

Answer:

[tex]y-intercept=(0,26)[/tex]

[tex]x-intercept=(-13/2,0)[/tex]

Step-by-step explanation:

Given

[tex]y-6=4(x+5)[/tex]

→ [tex]y=4(x+5)+6[/tex]

→ [tex]y=4x+20+6[/tex]

→ [tex]y=4x+26[/tex]

To find the y-intercept we will plug in x=0

  • y=4(0)+26=26

Now to find the x-intercept we will plug in y=0

[tex]0=4x+26\\[/tex]

→ [tex]4x=-26[/tex]   → [tex]x=\frac{-26}{4}[/tex]

  • x= -13/2

[tex]-------------[/tex]

hope it helps...

have a great day!!!