Question

find the x-and y-intercepts of the graph of 7x-10y=30. state as whole numbers or as improper fractions in simplest form.

Answer 1

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.

`7x-10y=30`

x-intercept

`\begin{gathered} 7x-10(0)=30 \\ 7x=30 \\ x=(30)/(7) \end{gathered}`

y-intercept

`\begin{gathered} 7(0)-10y=30 \\ -10y=30 \\ y=(30)/(-10) \\ y=-3 \end{gathered}`