To find the intercept of the function on the x-axis, replace y = 0 and solve for x:
[tex]\begin{gathered} y=0 \\ 7x+10y=40 \\ 7x+10(0)=40 \\ 7x+0=40 \\ 7x=40 \\ \text{ Divide by 7 from both sides of the equation} \\ \frac{7x}{7}=\frac{40}{7} \\ x=\frac{40}{7} \end{gathered}[/tex]Therefore, the x-intercept of the function is in the ordered pair:
[tex](\frac{40}{7},0)[/tex]To find the intercept of the function on the y-axis, replace x = 0 and solve for y:
[tex]\begin{gathered} x=0 \\ 7(0)+10y=40 \\ 0+10y=40 \\ 10y=40 \\ \text{ Divide by 10 from both sides of the equation} \\ \frac{10y}{10}=\frac{40}{10} \\ y=4 \end{gathered}[/tex]Therefore, the y-intercept of the function is in the ordered pair:
[tex](0,4)[/tex]