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A graph of a linear function is shown on the grid. Which of these best represents 0 of the function? A 8. B 10. C 16. D 24.

A Graph Of A Linear Function Is Shown On The Grid Which Of These Best Represents 0 Of The Function A 8 B 10 C 16 D 24 class=

Sagot :

answer:

C. 16

explanation:

when x is 0, the y-intercept is 8

coordinates: (0,8) and (4,6)

slope:

[tex]\sf \frac{y2-y1}{x2-x1}[/tex]

[tex]\sf \frac{6-8}{4-0}[/tex]

[tex]\sf \frac{-2}{4}[/tex]

[tex]\sf -\frac{1}{2}[/tex]

equation:

[tex]\sf y = mx +b[/tex]    [ where m is slope and b is y-intercept ]

[tex]y = \sf -\frac{1}{2}x +8[/tex]

solve for x-intercept:

note: zeros of a function are the values of x when f(x) is equal to 0

[tex]y = \sf -\frac{1}{2}x +8[/tex]

[tex]0= \sf -\frac{1}{2}x +8[/tex]

[tex]-8= \sf -\frac{1}{2}x[/tex]

[tex]\sf x = -8 * -2[/tex]

[tex]\sf x = 16[/tex]

Answer:C 16.

Step-by-step explanation:

its 16

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