ANSWER
8x + 5y = 40
EXPLANATION
We can see in the graph that the line intersects the y-axis at y = 8. When we have the equation of a line in the form:
[tex]ax+by=c[/tex]
The y-intercept is the quotient:
[tex]y_{\text{ intercept}}=\frac{c}{b}[/tex]
If the y-intercept is 8 and the intependent term is 40, then the coefficient of y must be 5. So b = 5:
[tex]ax+5y=40[/tex]
The slope of the line, with the given form of the equation is:
[tex]m=-\frac{a}{b}[/tex]
We can see in the graph that the slope is -8/5. Therefore, if b = 5, then a = 8.
Hence, the equation that represents the graph is:
[tex]8x+5y=40[/tex]
