Question

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.

Answer 1

Answer:C 16.

Step-by-step explanation:

its 16

Answer 2

answer:

C. 16

explanation:

when x is 0, the y-intercept is 8

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

slope:

$\sf \frac{y2-y1}{x2-x1}$

$\sf \frac{6-8}{4-0}$

$\sf \frac{-2}{4}$

$\sf -\frac{1}{2}$

equation:

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

$y = \sf -\frac{1}{2}x +8$

solve for x-intercept:

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

$y = \sf -\frac{1}{2}x +8$

$0= \sf -\frac{1}{2}x +8$

$-8= \sf -\frac{1}{2}x$

$\sf x = -8 * -2$

$\sf x = 16$