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.

Question

asked Jun 16, 2023 47.6k views

2 Answers

Aml · Answer 1 · 2023-06-20T11:51:07+0000

answer:

C. 16

Step-by-step explanation:

when x is 0, the y-intercept is 8

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

slope:

$\sf (y2-y1)/(x2-x1)$

$\sf (6-8)/(4-0)$

$\sf (-2)/(4)$

$\sf -(1)/(2)$

equation:

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

$y = \sf -(1)/(2)x +8$

solve for x-intercept:

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

$y = \sf -(1)/(2)x +8$

$0= \sf -(1)/(2)x +8$

$-8= \sf -(1)/(2)x$

$\sf x = -8 * -2$

$\sf x = 16$