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]
