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]