To find the x and y intercepts we use the equation representing the graph and replace y=0 to find the x-intercept and x=0 we find the y-intercept.
[tex]7x-10y=30[/tex]x-intercept
[tex]\begin{gathered} 7x-10(0)=30 \\ 7x=30 \\ x=\frac{30}{7} \end{gathered}[/tex]y-intercept
[tex]\begin{gathered} 7(0)-10y=30 \\ -10y=30 \\ y=\frac{30}{-10} \\ y=-3 \end{gathered}[/tex]