Respuesta :

Answer: y=(-2/3)x + 8/3

Step-by-step explanation:

-An x-intercept of 4 is the point (4,0):

-Find the slope, m, of the line thru 2 points:

[tex]m=(2-0) / (1-4)[/tex]

[tex]m= - \frac{2}{3}[/tex]

- Then you use:

[tex]y-y1=m[/tex] × [tex](x-x1)[/tex] where [tex](x1,y1)[/tex] is either point:

[tex]y-0=(-\frac{2}{3})[/tex] × [tex](x-4)[/tex]

[tex]y=\frac{8}{3}[/tex]

Result:

[tex]y=(-\frac{2}{3})x + \frac{8}{3}[/tex]