Answer :

Answer:

[tex] \boxed{ \boxed{ \sf \: x \: intercept : 8 \atop \sf \: y \: intercept : 2}}[/tex]

Step-by-step explanation:

to understand this

you need to know about:

  • linear equation
  • PEMDAS

given:

  • [tex] \tt y = - \frac{1}{4} x+ 2[/tex]

to find:

  • x and y intercept

tips and formulas:

  • to find x and y intercept we have to substitute x and y to 0

let's solve:

let's substitute x to 0 to find y intercept

  • y=-¼(0)+2
  • y=2

therefore y intercept is 0

let's substitute y to 0 to find x intercept

  • 0=(-¼)x+2
  • (-¼)x=-2
  • x=-2×-4
  • x=8

therefore

x intercept is 8

and

y intercept is 2

also see the graph

explanation of the graph

you can clearly see that the red line crosses x and y axis to (8,0) and (0,2) respectively

therefore

x intercept is 8

and

y intercept is 2

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