Answer :
Correct answer A) x+4y=8 , represents an equation of a line that has an x-intercept of 8 and a y-intercept of 2 .
Step-by-step explanation:
Here we have to identify Which of the following represents an equation of a line that has an x-intercept of 8 and a y-intercept of 2 .Let's find out:
A) x+4y=8
Let's check if line has an x-intercept of 8 i.e. at y=0 value of x is 8 :
⇒ [tex]x+4y=8[/tex]
⇒ [tex]x+4(0)=8[/tex]
⇒ [tex]x=8[/tex]
Let's check if line has an y-intercept of 2 i.e. at x=0 value of y is 2 :
⇒ [tex]x+4y=8[/tex]
⇒ [tex]0+4(y)=8[/tex]
⇒ [tex]y=2[/tex]
Hence , Correct option!
B) x=(-.25y+2)
Let's check if line has an x-intercept of 8 i.e. at y=0 value of x is 8 :
⇒ [tex]x=(-.25y+2)[/tex]
⇒ [tex]x=(-.25(0)+2)[/tex]
⇒ [tex]x=2[/tex]
Incorrect option!
C) 4x+y=2
Let's check if line has an x-intercept of 8 i.e. at y=0 value of x is 8 :
⇒ [tex]4x+y=2[/tex]
⇒ [tex]4x+0=2[/tex]
⇒ [tex]x=\frac{1}{2}[/tex]
Incorrect option!
D) y=-4x+8
Let's check if line has an x-intercept of 8 i.e. at y=0 value of x is 8 :
⇒ [tex]y=-4x+8[/tex]
⇒ [tex]0=-4x+8[/tex]
⇒ [tex]x=2[/tex]
Incorrect option!